Cigarettes cut in half may still be smoked (5)
I believe the answer is:
cigar
'still be smoked' is the definition.
I know that 'smoked' relates to this answer.
'cigarettes cut in half' is the wordplay.
'cut in half' means to take half the letters.
'cigarettes' halved is 'CIGAR'.
'may' is the link.
Can you help me to learn more?
(Other definitions for cigar that I've seen before include "Corona, eg" , "Close, but no ___ !" , "Roll of cured tobacco" , "Item kept in a humidor" , "Havana, for example" .)