Tweet approach shot crossing third in Turnberry (5)
I believe the answer is:
chirp
'tweet' is the definition.
(I know that tweet can be written as chirp)
'approach shot crossing third in turnberry' is the wordplay.
'approach shot' becomes 'chip' (chip is a kind of approach shot).
'crossing' indicates putting letters inside.
'third in turnberry' becomes 'r' (3rd letter of 'turnberry').
'chip' placed around 'r' is 'CHIRP'.
(Other definitions for chirp that I've seen before include "Twitter" , "Grasshopper's noise" , "Tweet" , "Sound made by small bird" , "Fledgling's sound" .)