A little trickier than the usual LR offering, I actually quite liked this!
Across
- 7
- Barty is able to refuse receptacle (6)
ASHCAN — ASH (Barty) CAN (is able to) - 9
- Painkiller from doctors annoyed (7)
ANODYNE — anagram (doctors) of ANNOYED - 10
- Answer to soul in turmoil (8)
SOLUTION — anagram (turmoil) of TO SOUL IN - 11
- Commits heartless vandalism for TV show (6)
SITCOM — anagram (vandalism) of COMmITS (without middle letter) - 12
- Pretentious person returned to artficial intelligence plant, shrunk (6)
BONSAI — reversal (returned) of SNOB, AI (artificial intelligence) - 14
- Bright desire to awaken, mostly (8)
LUSTROUS — LUST (desire) ROUSe (awaken, without last letter) - 16
- Cases of censorship in Olympics sled event? (7)
LUGGAGE — GAG (censorship) in LUGE (Olympics sled event) - 18
- Progress commercial with Trump's VP (7)
ADVANCE — AD (commercial) VANCE (Trump's VP) - 21
- Split trip I won unfairly (3,2,3)
RIP IN TWO — anagram (unfairly) of TRIP I WON - 23
- Maybe Tell marchers to disown extremists? (6)
ARCHER — mARCHERs without outside letters - 25
- Pain in the neck and back from impassioned rubbing (6)
BURDEN — reversal (back) of hidden in impassioNED RUBbing - 27
- Delta entered to win cash, cooking square meal (8)
SANDWICH — anagram (cooking) of WIN CASH with D (delta) - 29
- New purse contains five euro to provide food (5,2)
SERVE UP — anagram (new) of PURSE containing V (five) E (euro) - 30
- Trump backed Republican leaving real proposition rejected (2,4)
NO DEAL — reversal (backed) of DON (trump), rEAL without r (republican)
Down
- 1
- City band ditched slow ending (4)
OSLO — O (band) SLOw (without last letter) - 2
- Welcoming one to Nevada by biting head off (8)
INVITING — I (one) NV (Nevada) bITING (without first letter) - 3
- Slightly messy in flat 365D (7)
FAINTLY — anagram (messy) of IN FLAT, Y (365d) - 4
- Charges surrounding arson initially doesn't really work (6)
COASTS — COSTS (charges) around A (first letter of arson) - 5
- This year's crazy delirium (8)
HYSTERIA — anagram (crazy) of THIS YEAR - 6
- The lady's life saver!? (4)
HERO — HER (the lady) O (life saver), &lit - 8
- Captain embraces ship's sounds (5)
CHUGS — C (captain) HUGS (embraces) - 13
- Eyes off chocolate unicorn, lathered in toppings (5)
OCULI — first letters of Off Chocolate Unicorn Lathered In - 15
- Cryptic clue about Einstein's conclusion - a man of relativity? (5)
UNCLE — anagram (cryptic) of CLUE around N (last letter of Einstein) - 17
- Smiles, clenching inflamed back molars, perhaps (8)
GRINDERS — GRINS (smiles) around reversal (back) of RED (inflamed) - 19
- Opening drink and pouring - it causes exhaustion! (8)
DRAINING — D (first letter of drink) RAINING (pouring) - 20
- 50 per cent chances of POTUS wrongfully imprisoning secret service (7)
TOSSUPS — anagram (wrongfully) of POTUS containing SS (secret service) - 22
- Kind offer (6)
TENDER — double def. - 24
- Daunted to marry after losing everything inside casino (5)
COWED — CO (outside letters of casino) WED (to marry) - 26
- Guests are regularly leaving this historic country (4)
USSR — even letters of gUeStS aRe - 28
- Potter's medium coffee launched at yelling faces (4)
CLAY — first letters of Coffee Launched At Yelling