Find out lice are exterminated by it (6)
I believe the answer is:
elicit
'find out' is the definition.
(as in eliciting information)
'lice are exterminated by it' is the wordplay.
I cannot really understand how this works, but
an anagram of 'lice' is 'elic' which is present in the answer.
'it' could be 't' (abbreviation. e.g. in 'tis) and 't' is present in the answer.
A single letter 'i' remains which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for elicit that I've seen before include "Draw out from, invoke" , "'Draw out, evoke (6)'" , "Bring out - evoke" , "Draw out, call forth" , "Draw out (response, information etc)" .)