Across
Disappear, having run out of polish (6)
Ambassador travels by horse around British Isles (8)
I haven't cracked this one yet — but Times for the Times have:
H.E. (B) RIDES.
Such deception — Harry Lime enraged! (11)
Music from eastern half of US state (3)
Torment Scotsman bored by island hotel (7)
Polar explorer injected with constant drugs (7)
Source of food for which we have to thank Providence? (5,6,3)
I haven't cracked this one yet — but Times for the Times have:
Cryptic hint – Providence is the capital of Rhode Island. The literal is very vague, but the answer is eminently biffable.
Mass churchgoers, for example going around African capital (14)
I haven't cracked this one yet — but Times for the Times have:
CONGR[e.g.]ATION going around LOME, the capital of Togo. This is not a substitution clue, because Lome does not go in the same place e.g. came out of. Very tricky.
Mistake to entertain listener not keen on the stock market (7)
Flash cravat sported by peacekeeping force policeman (7)
Boy wonder exposed witchcraft (3)
Timid girl told fibs about retired vicar (4-7)
Exciting Sudanese stage performer (8)
Paint stiffly formal English king (6)
Down
Writer almost published following potential difference (8)
After heading off, hitch horse (3)
Mass rally begins with it (7)
I haven't cracked this one yet — but Times for the Times have:
Cryptic hint; a tennis rally starts with a serve.
1D made KP nuts, a canned product (10,4)
Most of angry speech playwright read out was out of control (3,4)
Ed's third hit stirred up gossip (not in a good way) (4,3,4)
I haven't cracked this one yet — but Times for the Times have:
Anagram of ED’S THIRD HIT.
Birdies, pars, eagles going round few and far between (6)
The hopeless PM failing to contain the onset of inner demon (14)
I haven't cracked this one yet — but Times for the Times have:
Anagram of THE HOPELESS PM containing I[nner].
Grenoble regularly calling wanting Victor's GPS coordinates (11)
English monarch supporting dying cause (8)
I haven't cracked this one yet — but Times for the Times have:
ENG + END, E.R.
In Scotland, he's paid to find the net and secure the game (7)
I haven't cracked this one yet — but Times for the Times have:
CD, I believe.
Leader of archers put on his equipment, trembling (7)
I haven't cracked this one yet — but Times for the Times have:
A[rchers] + QUIVER.
Sailor on the way overseas (6)
Pack animal (3)
Type letters or click words in the clue