Across
Clever to be elected, then reject negative promises (9)
Girl from America in hospital (5)
Begin to drive dangerously? (9)
Go and snooker player (5)
Lethargy from United playing sport outside (6)
I haven't cracked this one yet — but Fifteensquared have:
U in SPORT*
Rushed scientist grasping origin of radiation in Scotland on vacation (8)
I haven't cracked this one yet — but Fifteensquared have:
A double inclusion: R[adiation] in CURIE, all in S[cotlan]D
Jargon is about messages (7)
(10010050 + 1) ÷ y? It might make your head spin (7)
I haven't cracked this one yet — but Fifteensquared have:
We have to divide up the big number as 100 100 50, giving C C L, then add ONE, and insert (or “divide by”) Y
Clothes with broader design (8)
Hillary and Donald finally married in nude? Revolting! (6)
I haven't cracked this one yet — but Fifteensquared have:
[donal]D + M in NUDE* – a revolting picture indeed. Edmund Hillary (of Everest fame) and Hillary Clinton both spell the name with a double L
Speller's turn to forget first letter (5)
I haven't cracked this one yet — but Fifteensquared have:
SWITCH (turn) less the first letter
Shame about boring argument (9)
5 British chessmen found here (5)
Fleece follower's family (9)
I haven't cracked this one yet — but Fifteensquared have:
SHEEP’ S (followers) + KIN
Down
Kept in trunk, nothing is free (6)
Safe to criticise play? (5,3)
Season well, including new thyme — explain recipe for starters (6)
West Asian monarchy captures rebel leader in this building (7)
I haven't cracked this one yet — but Fifteensquared have:
R[ebel] in UK (a monarchy), in THIS*
Writer, 'a god', pens introduction to Ulysses (6)
I haven't cracked this one yet — but Fifteensquared have:
U[lysses] in A THOR
Temple in Japan, the one that's hidden (8)
Woman's fortunate after king abdicates (4)
I haven't cracked this one yet — but Fifteensquared have:
LUCKY less K
First wise men on retreat study 'thought' (8)
I haven't cracked this one yet — but Fifteensquared have:
1 (first) + MAGI + reverse of DEN (study)
510 — number of the beast? (4)
I haven't cracked this one yet — but Fifteensquared have:
Again we have to split the number, as 51 0 or LI O, and add N[umber]
Support for illumination display under 50A? (8)
I haven't cracked this one yet — but Fifteensquared have:
50A is L AMP[eres], plus POST (to display)
Cheer Germany-Spain match (7)
I haven't cracked this one yet — but Fifteensquared have:
D + E + LIGHT (match, as in “have you got a light?”)
Terribly excited to lose vote to fraud (6)
I haven't cracked this one yet — but Fifteensquared have:
EXCITED* less X (vote)
Made to comprehend English degree without Latin (6)
I haven't cracked this one yet — but Fifteensquared have:
LEARN (comprehend) + E D less L
Over 16 eating suet regularly used in cooking (3,3)
I haven't cracked this one yet — but Fifteensquared have:
Alternate letters of sUeT in reverse of LION (16 down)
Type letters or click words in the clue