Puzzle in south chasing westbound taxi provider (5)
I believe the answer is:
rebus
'puzzle' is the definition.
(type of visual puzzle)
'south chasing westbound taxi provider' is the wordplay.
'south' becomes 'S' (synonyms).
'chasing' says to put letters next to each other.
'westbound' shows that the letters should be reversed in order (letters written from right to left).
'taxi provider' becomes 'Uber' (Uber is a taxi app).
'uber' written backwards gives 'rebu'.
's' put after 'rebu' is 'REBUS'.
'in' acts as a link.
(Other definitions for rebus that I've seen before include "Picture-letter puzzle" , "Pictorial pun - fictional detective" , "In Edinburgh, busy" , "Enigmatic representation" , "Pun picture puzzle" .)