I found this to be an easy, enjoyable puzzle, providing no major difficulties. Definitely a lot of mythology!
For those at the beginning of their puzzle-solving journey, I made a walkthrough my solve here: https://www.youtube.com/watch?v=UMNGFhmmOro. Hopefully some will find this video helpful!
|1||Having less hair a bit rubbish (10)|
|BALDERDASH - BALDER (having less hair) + DASH (a bit)|
|8||One miserable smoker [is] irritating (7)|
|IRKSOME - I (one) + anagram of (miserable) SMOKER (smoker)|
|9||Goods initially carried by ancient ship (5)|
|CARGO - first letter of (initally) CARRIED (carried) + (by) ARGO (ancient ship)
The Argo is a ship from Greek mythology.
|10||Heard two deer [and] an extinct bird? (4)|
|DODO - homophone of (heard) DOE DOE (two deer)
Reason for the question mark?
|11||A horse with time to drink (8)|
|AMARETTO - A (a) + MARE (horse) + (with) T (time) + TO (to)|
|13||Young girl with old rope (5)|
|LASSO - LASS (young girl) + (with) O (old)|
|14||Iodine put in remedy [for] some radiation (5)|
|CURIE - I (iodine) in (put in) CURE (remedy)
A 'Curie' is the basic unit of radiation, named after Marie Curie.
|16||Focuses on size: er, that’s unusual (6,2)|
|ZEROES IN - ON SIZE ER (on size er) anagrammed (that's unusual)|
|17||Assist a wager (4)|
|ABET - A (a) + BET (wager)|
|20||Oddly, loud child [is] coherent (5)|
|LUCID - odd-numbered letters of (oddly) LOUD (loud) CID (child)
Cid is a child's name, I guess. EDIT: jackkt pointed out that CID is just the odd-numbered letters in ‘child’.
|21||Prohibit boy’s musical instruments (7)|
|BANJOES - BAN (prohibit) JOE'S (boy's)|
|22||Grave fellow [and] dangerous driver? (10)|
|UNDERTAKER - double definition
Didn't quite get the second definition here. Do they mean that a stunt driver 'undertakes' dangerous stunts? EDIT: vinyl let me know the flavor of the second definition but I’m happy to let people who actually know the term elucidate in the comments.
|1||A shade / insensitive (5)|
|BLIND - double definition|
|2||Dalek I set loose on harsh northern wilderness (4,8)|
|LAKE DISTRICT - DALEK I (dalek I) anagrammed (set loose) + (on) STRICT (harsh)|
|3||Greek god found in Homer, ostensibly (4)|
|EROS - letters in (found in) HOMER OSTENSIBLY (Homer ostensibly)|
|4||Vague padre, dismissing pa and girl (6)|
|DREAMY - PADRE (padre) without (dismissing) PA (pa) + (and) AMY (girl)|
|5||Sporting competition that’s in the bag? (4,4)|
|SACK RACE - cheeky definition|
|6||What could delay a novel bowlers' trick being used (7,5)|
|WRITERS BLOCK - BOWLERS TRICK (bowlers trick) anagrammed (being used)|
|7||Gloomy detective imprisons leader of Opposition (6)|
|MOROSE - MORSE (detective) contains (imprisons) first letter of (leader of) OPPOSITION (opposition)|
|12||Greek god [is] poisoned, unfortunately (8)|
|POSEIDON - POISONED (poisoned) anagrammed (unfortunately)|
|13||Slowly, plant covers centre of maze (6)|
|LAZILY - LILY (plant) around (covers) middle letters of (centre of) MAZE (maze)|
|15||Quick, some medication—I'm bleeding! (6)|
|NIMBLE - letters in (some) MEDICATION I'M BLEEDING (medication I'm bleeding)|
|18||Stare unhappily, [producing] weapon (5)|
|TASER - STARE (stare) anagrammed (unhappily)|
|19||Fly bite is raised up (4)|
|GNAT - TANG (bite) reversed (is raised up)|