A Parisian in bar gets serving of drinks (5)
I believe the answer is:
round
'serving of drinks' is the definition.
(I've seen this in another clue)
'a parisian in bar' is the wordplay.
'a parisian' becomes 'un' ('a' in French).
'in' indicates putting letters inside.
'bar' becomes 'rod' (both can mean a pole or stick).
'un' placed into 'rod' is 'ROUND'.
'gets' is the link.
(Other definitions for round that I've seen before include "Division of a boxing match - having a curved shape - drinks bought by one person" , "Drinks order" , "balls are like this" , "Item of music - single item of ammunition" , "A single shot" .)