Unhygienic person strangely able to get cigarette out (7)
I believe the answer is:
fleabag
'unhygienic person' is the definition.
'strangely able to get cigarette out' is the wordplay.
'strangely' is an anagram indicator.
'to get cigarette' becomes 'fag' (I can't justify this - if you can you should believe this answer much more).
'out' is an insertion indicator.
'able' anagrammed gives 'leab'.
'leab' put into 'fag' is 'FLEABAG'.
(Other definitions for fleabag that I've seen before include "run-down hotel" , "Scruffy person; seedy hotel (US)" , "Scruffy animal" , "Dirty person or animal" .)