The unclued Across lights are of one linguistic kind and the unclued Down lights are of another, all of which solvers must figure out.
 

Across

 
1    Busy person squeezing scab on carpet (6)
7    Cilla’s out gathering what Novello suggested (6)
12    Ends of the line abolished at privatisation? (9)
13    Come down from window (5)
15    Club official, more confident following adjustment of rate (9)
16    Persistent seabird seen during mid-week (6)
20    Threatening youths broadcast ‘Which of you gets the chop?’ (7)
21    In France, here is coldest (6)
27    Jade manager takes indoors (3)
28    Char originally engaged amid cheers (3)
32    I am a doctor, right? Initially take...