Square support in golf: heading for nice, slightly-reduced score? (8)

I believe the answer is:
nineteen
'slightly-reduced score?' is the definition.
I can't judge whether this defines the answer.
'square support in golf heading for nice' is the wordplay.
'square' becomes 'nine' (nine is a square number).
'support in golf' becomes 'tee' (I can't justify this - if you can you should give a lot more credence to this answer).
'heading for' says to take the initial letters.
The first letter of 'nice' is 'n'.
'nine'+'tee'+'n'='NINETEEN'
Can you help me to learn more?
(Other definitions for nineteen that I've seen before include "Prime number" , "12 + 7" , "19" , "barred by the golf club?" , "To talk - to the dozen is to do so volubly" .)
