Across
13a
Where hopeful suitor Lee’s practised? (6,2,3,6)
Rider revealed as demanding type gets marching orders (6)
Investigator many rejected for not showing emotion (6)
I haven't cracked this one yet — but Fifteensquared have:
A reversal (‘rejected’) of DI (Detective Inspector ‘Investigator’) plus LOTS (‘many’).
The runs unfortunately going round, one discovers (8)
Head of family better off to begin with (4)
Opposes how new stadium is to be built (10)
See 5
Rubbish, mush! Weather’s awful outside, not hot (5,5)
Very rich man in Bow area not academic (4)
I haven't cracked this one yet — but Fifteensquared have:
E LON[don] (‘Bow area’) E for East, and removing DON (‘not academic’). The definition refers to Elon Musk; they don’t come any wealthier.
China on the same wavelength but no-one else, it’s said (4,4)
Making every effort for tax cheat and boor (3-3)
Be amorous with sound from lower school covering (6)
What clearly is time for British to get promotion (6)
I haven't cracked this one yet — but Fifteensquared have:
ADVERB (‘what clearly is’) with the B replaced with T (‘time for British’).
Down
Beginning of game offering respite for put-upon schoolkid (5,3)
I haven't cracked this one yet — but Fifteensquared have:
Definition and literal interpretation.
I object to Old Bill initially taking wife in field (6)
I haven't cracked this one yet — but Fifteensquared have:
A charade of ME (‘I object’ – object grammatically) plus AD (‘Bill’) plus O (‘old’) plus W (‘wife’). ‘Initially’ is not its usual cryptic use, but indicates that AD comes before O.
Whitewashes pay for drink (6,2)
Follower of Romeo with attractive quality holding one boob (6)
I haven't cracked this one yet — but Fifteensquared have:
An envelope (‘holding’) of I (‘one’) plus ERR (‘boob’) in SA (sex appeal, ‘attractive quality’). Romeo is R in the NATO alphabet, and SIERRA, S.
Finishing off his work (6)
Suckers with a local Tory grandee (6)
I haven't cracked this one yet — but Fifteensquared have:
A charde of ‘a’ plus PH (Public House, ‘local’) plus IDS (Iain Duncan Smith, ‘Tory grandee’).
Crude! Is past being diverted by such elements of humour (7,4)
One paid to attend clean form of entertainment? Maybe not (3,5)
I haven't cracked this one yet — but Fifteensquared have:
I think this must be: an envelope (‘to attend’) of A (‘one’) plus PD (‘paid’) in LANCE (‘clean’ – to pierce an abscess). ‘Maybe not’ completes an extended definition. As pointed out first by Dr. WhatsOn @3, LANCE is an anagram (‘form’) of ‘clean’.
Depression? That could be Everton (3,5)
Well-publicised article – doctor getting into a lot of trouble (6)
I haven't cracked this one yet — but Fifteensquared have:
An envelope (‘getting into’) of A (indefinite ‘article’) plus MO (Medical Officer, ‘doctor’) in FUS[s] (‘trouble’) cut short (‘a lot of’).
Gripped by desire, occasionally touch stripper (6)
National hero working in shop (4,2)
Country club for golfers admitting women (6)
I haven't cracked this one yet — but Fifteensquared have:
An envelope (‘admitting’) of W (‘women’) in R AND A (‘club for golfers’ – The Royal and Ancient Golf Club of St Andrews).
Type letters or click words in the clue