Chances of a detective sergeant getting a bit of food? (4)
I believe the answer is:
odds
'chances' is the definition.
(I've seen this before)
'a detective sergeant getting a bit of food?' is the wordplay.
'a detective sergeant' becomes 'DS' (abbreviation for detective sergeant).
'getting' says to put letters next to each other.
'a bit' suggests taking the first letters (I've seen 'bits of' mean this).
'food?' becomes 'd' (D is an example).
The initial letter of 'of' is 'o'.
'o'+'d'='od'
'ds' put after 'od' is 'ODDS'.
'of' is the link.
(Other definitions for odds that I've seen before include "Things not even" , "familiar to our betters?" , "at this is in dispute" , "They could be evens" , "Bookies give them" .)