Father has something inherited with value (8)
I believe the answer is:
generate
'father' is the definition.
(synonyms)
'something inherited with value' is the wordplay.
'something inherited' becomes 'gene' (I've seen this in another clue).
'with' says to put letters next to each other.
'value' becomes 'rate' (synonyms).
'gene'+'rate'='GENERATE'
'has' is the link.
(Other definitions for generate that I've seen before include "Produce with green tea" , "Produce, create" , "Produce - teenager (anag)" , "Cause to arise; produce" , "Beget" .)