Across
Case demanding investigation at first during dance (6)
I haven't cracked this one yet — but Times for the Times have:
I{nvestigation} [at first] contained by [during] VALSE (dance). There’s nothing to indicate the French word for ‘waltz’ here but along with many other musical directions and styles it long ago became integrated into English.
Dandy's invitation to flyer to pay a quick visit? (8)
River god: in France he principally inhabits bell towers (9)
I haven't cracked this one yet — but Times for the Times have:
CAM (river – in Cambridge), PAN (god), IL (in France ‘he’), I{nhabits} [principally]. A campanile is usually free-standing like the one at St Mark’s in Venice and the Leaning Tower of Pisa.
Stunner modelled again, having retired (5)
Prehistoric item originally accommodated by girl in charge (7)
I haven't cracked this one yet — but Times for the Times have:
I{tem} [originally] contained [accommodated] by LASS (girl), IC (in charge). I didn’t know this but the wordplay was crystal clear and many such geological periods end in -ASSIC so there wasn’t much work to do.
Mournful European member with current account (7)
Note about tailless donkey's short break down under (5)
Excluded from national team perhaps, though never bettered (8)
Way old Jack returns, at a gentle speed (8)
I haven't cracked this one yet — but Times for the Times have:
MODE (way), then O (old) + TAR (Jack – sailor) reversed [returns]. Another musical import.
Mean to follow stoat's first trail (5)
I haven't cracked this one yet — but Times for the Times have:
S{toat’s} [first], POOR (mean – badly off). The track or scent left by an animal.
Fashionable present, for example — very strong (7)
Time a chap is overcome by marijuana (7)
Vocalise quietly, attracting husband's disapproving grunt (5)
I haven't cracked this one yet — but Times for the Times have:
HUM (vocalise), P (quietly), H (husband)
Put in the picture, relaxing in the glen (9)
Person of wide learning taking old college subject in US (8)
Report of pranks primarily inflicted by English girl (6)
Down
Singer's accountant plugging very old record (8)
I haven't cracked this one yet — but Times for the Times have:
CA (accountant) contained by [plugging] V (very) + O (old) + LIST (record)
High-class medic in Nigerian city dismissing son's back pain (7)
I haven't cracked this one yet — but Times for the Times have:
U (high-class) + MB (medic) contained by [in] LAGO{s} (Nigerian city) [dismissing son]
Eg Corrie's character making material for tabletops (9)
Roundhead leader Royal extremists will overcome somehow (6,8)
I haven't cracked this one yet — but Times for the Times have:
Anagram [somehow] of R{oya}L [extremists] WILL OVERCOME. A clue absolutely ripe for biffing!
Man possibly absorbing first of this fibre (5)
I haven't cracked this one yet — but Times for the Times have:
ISLE (of Man possibly) containing [absorbing] T{his} [first]
Magistrate's way to dip into soft drink (7)
Ill-fated jester, one caught entering northern city (6)
I haven't cracked this one yet — but Times for the Times have:
I (one) + C (caught – cricket) contained by [entering] YORK (northern city). Geographical locations in Times puzzles tend to be viewed from a London perspective. The character appears as a disembodied skull in Hamlet.
Despair in record fellows finally kept about these times (14)
I haven't cracked this one yet — but Times for the Times have:
DISC (record) + MEN (fellows) + {kep}T [finally] containing [about] OUR AGE (these times). My LOI. I had the first and last bits but took far too long to come up with something suitable meaning ‘these times’ to fill the gap.
Traveller's means of contact crossing headland going north (9)
I haven't cracked this one yet — but Times for the Times have:
PAGER (means of contact – do they still exist?) containing [crossing] NESS (headland) reversed [going north]
Discretion of duke supporting game, dipping into cash (8)
I haven't cracked this one yet — but Times for the Times have:
RU (game – Rugby Union) + D (duke) contained by [dipping into] PENCE (cash)
Best man enthralled by precious stone (7)
Work too hard in connection with duty (7)
Senior cleric's blunder over work (6)
In Latin, a humorous book (5)
Type letters or click words in the clue