Attend police station, not having caught one-time dropout (7)
I believe the answer is:
beatnik
'one-time dropout' is the definition.
'beatnik' can be an answer for 'dropout' (thesaurus). I'm not certain of the 'one-time' bit.
'attend police station not having caught' is the wordplay.
'attend' becomes 'be at' (to be at an event is to attend it).
'police station' becomes 'nick' (slang term).
'not having' indicates named letters should be taken away.
'caught' becomes 'c' (cricket abbreviation).
'nick' with 'c' taken away is 'nik'.
'beat'+'nik'='BEATNIK'
Can you help me to learn more?
(Other definitions for beatnik that I've seen before include "Fifties dropout" , "Nineteen fifty's youth" , "Young nonconformist of the 1950s and 1960s" , "1950s dropout" , "Young person of the '50s and '60s" .)