Chilling out initially near French city (2,3)
I believe the answer is:
on ice
'chilling' is the definition.
(I've seen this in another clue)
'out initially near french city' is the wordplay.
'initially' suggests taking the first letters.
'near' means one lot of letters go next to another.
'french city' becomes 'nice' (Nice is a French city).
The first letter of 'out' is 'o'.
'o'+'nice'='ON ICE'
(Other definitions for on ice that I've seen before include "Predatory insect" , "Temporarily suspended" , "Awaiting decision" , "not to be furthered?" , "Where one might find slippers" .)