Solve Times cryptic crossword, initially at home? (8)
I believe the answer is:
domestic
'at home?' is the definition.
(I've seen this before)
'solve times cryptic crossword initially' is the wordplay.
'solve' becomes 'do' (I've seen this in other clues).
'cryptic' is an anagram indicator (a cryptic or obscure order of the letters).
'initially' suggests taking the first letters.
The initial letter of 'crossword' is 'c'.
'times' with letters rearranged gives 'mesti'.
'do'+'mesti'+'c'='DOMESTIC'
(Other definitions for domestic that I've seen before include "of houses?" , "Used in the home" , "Argument - in the home" , "violent incident at home" , "Of the household - or person employed there" .)