To father, it looks good surrounded with veg. (5)
I believe the answer is:
beget
'to father' is the definition.
('beget' can be a synonym of 'father')
'good surrounded with veg' is the wordplay.
'good' becomes 'g' (abbreviation).
'surrounded with' is an insertion indicator.
'veg' becomes 'beet' (beet is a kind of vegetable).
'g' placed within 'beet' is 'BEGET'.
'it looks' is the 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 beget that I've seen before include "Give rise to; create (children)" , "Sire" , "Father" , "Produce (child) (archaic)" , "Engender" .)