Across
Beautiful creation Pisan admits is leaning to one side (8)
That man breaks first commandment (6)
Back with girlfriend initially excited (4)
Plan part of Christmas term in detail (10)
Mediator interrupted Republican mad he's not up front (12)
I haven't cracked this one yet — but Fifteensquared have:
BROKE (interrupted) + R (abbreviation for Republican), with an anagram (mad) of HE’S NOT at the start (up front). I didn’t know this phrase but the dictionaries did: an impartial mediator who attempts to resolve a dispute.
Workers having day out order a cab (6)
I haven't cracked this one yet — but Fifteensquared have:
HAN [d] S (workers, as in “all hands on deck”) without the D (abbreviation for day), then OM (abbreviation for Order of Merit). Horse-drawn cab.
Play wearing medical dressing that's really strong tissue (8)
Dodgy coins ref used for evidence in court (8)
Hate word in clue that requires alternate letters to be removed (6)
I haven't cracked this one yet — but Fifteensquared have:
OATH (word, as in “I give you my word” = a promise), inserted into [c] L [u] E with alternate letters removed. This seems a rather obvious way to indicate the construction, but there may be some reason for it.
New trike Eddy bust in two f****** days (12)
Automatic control which bags queen the largest share (10)
I haven't cracked this one yet — but Fifteensquared have:
THAT (which, as in “the house which Jack built”), containing ER (the late Queen Elizabeth) + MOST (the largest share).
50% of brides-to-be flipping innocent (4)
Eat for a laugh when talking (6)
Meet Charlie by the side of the road (8)
Down
Blunt language of slogan upset nervous conductor (10)
Cat hair covers Irving's coat (7)
I haven't cracked this one yet — but Fifteensquared have:
TRESS (a long lock of hair: generally used in the plural “tresses”), covering the outer letters (coat) of I [rvin] G .
Occasionally battlefield's full of English climbing it (9)
I haven't cracked this one yet — but Fifteensquared have:
SOMME’S (the WWI battlefield is), containing (full of) E (abbreviation for English) + IT reversed (climbing).
New Barking riots left hole under bridge (7)
Bill catches large fish (5)
Smell that's iffy probed by doctor without interest (7)
Ship back from Calais on purpose (4)
Inconsiderate aunt exposed family in article (10)
I haven't cracked this one yet — but Fifteensquared have:
[a] UN [t] without the outer letters (exposed), then KIN (family) in THING .
Song recalling Texas girl with underwear on (9)
Back last runner at 'aydock? (7)
Lean brainbox who collaborated with Watson heard from Spooner with mystery (7)
I haven't cracked this one yet — but Fifteensquared have:
Spoonerism of TIP (lean = slant away from the vertical) + CRICK (no, nothing to do with Sherlock Holmes: it’s Francis Crick, who worked with James Watson on the first published description of the double helix structure of DNA. In fact they relied on the work of a number of others, notably Rosalind Franklin, who didn’t get nearly enough credit at the time.) Some readers will no doubt complain that this isn’t a real Spoonerism because TIP CRICK isn’t a thing; I tend to agree.
Like a neck twisted sideways (7)
Place to sleep temperature requiring jumpers on (5)
Body part Henry trapped in vice (4)
Type letters or click words in the clue