The name of a man from Ayr (3)
I believe the answer is:
ray
'the name' is the definition.
'from ayr' is the wordplay.
'from' is an anagram indicator (from the letters).
'ayr' with letters rearranged gives 'RAY'.
'of a man' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for ray that I've seen before include "beamer?" , "Beam; flat-bodied fish" , "Pencil of light" , "A little light" , "Beam - skate" .)