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[Solution (click to open)]
Definitions underlined in bold italics, (Abc)* indicating anagram of Abc,
3 I shriek out loud for something cold to eat. (3,5)
ICE CREAM. Sounds like [out loud] I SCREAM. “I scream, you scream, we all scream for ice cream”.
9 Bask by stream and go red. (7)
SUNBURN. SUN (bask) BURN (stream)
10 Time on the fifteenth of March for ebbs and flows. (5)
TIDES. T (time) IDES (15th March).
11 No time for fear? That's a mistake. (5)
12 Inject hydrogen in hope of a strong driving force. (6)
THRUST. [Inject] H (hydrogen) in TRUST (hope, as in “I trust you are keeping well”).
14 Thor must rend abnormal small violent weather events. (13)
THUNDERSTORMS. (Thor must render)* [abnormal] S (small).
17 Irrational dread of fake ale, we hear. (6)
PHOBIA. Sounds like (we hear) FAUX (fake) BEER (ale).
19 Tyneside against the queen? Surely not! (5)
NEVER. NE (Tyneside) V (against) ER (the queen).
22 Dance from Burma perhaps? (5)
RUMBA. (Burma)* [perhaps].
23 Some billionaire bigwigs return from European peninsula. (7)
IBERIAN. Reverse [return] hidden [some] in billioNAIRE BIgwigs.
24 Lots of this gives you 9 or makes you 16. (8)
SUNSHINE. Mildly cryptic definition.
25 Tim's initially in charge of summer outdoor entertainment. (4)
FETE. Tim’s [initially] [in] FEE (charge).
1 Doubts they are potential perpetrators. (8)
SUSPECTS. Double definition.
2 Tops champion with shot close to the bull. (5)
INNER. [Tops] i.e. remove first letter from
4 Swindles queen and country over time creating dismay. (13)
CONSTERNATION. CONS (swindles) ER (queen) NATION (country) outside [over] T (time).
5 Order crate to provide food for an occasion. (5)
CATER. [Order] (crate)*.
6 Ultimate customer endures change. (3,4)
END USER, (endures)* [change].
7 COVID-19 protection initially makes Americans extremely sick. (4)
MASK. [initially] Makes Americans [extremely] SicK.
8 Disgusting Putin not home free. (6)
PUTRID. PUTin without the in [not home] RID (free).
13 Alienate sergeant with new order. (8)
ESTRANGE (sergeant)* [with new order].
UNHUMAN. U (Upper class) NAN (gran) outside [masks] HUM (nasty pong).
16 Beaten and converted to leather. (6)
TANNED. Double definition.
18 Maybe aches somewhat for sandy seashore. (5)
BEACH. Hidden in [somewhat] MayBE ACHes.
20 Say nothing about bad habit? On the contrary. (5)
VOICE. VICE (bad habit) [about] O (nothing), rather than the other way round [on the contrary].
21 Some part-song writing, sculpture etc. (4)
ARTS. Hidden in pART-Song.