Vagrant having minimum of food subsequently eating egg (7)

'vagrant' is the definition.
(I know that vagrant can be written as floater)

'minimum of food subsequently eating egg' is the wordplay.
'minimum of' says to take the initial letters.
'subsequently' becomes 'later' (subsequently means later on).
'eating' is an insertion indicator.
'egg' becomes 'o' (an 'o' resembles an egg).
The initial letter of 'food' is 'f'.
'later' placed around 'o' is 'loater'.
'f'+'loater'='FLOATER'

'having' acts as a link.