Tyres can burst in race (8)
I believe the answer is:
ancestry
'race' is the definition.
(I've seen this before)
'tyres can burst' is the wordplay.
'burst' indicates an anagram.
'tyres'+'can'='tyrescan'
'tyrescan' anagrammed gives 'ANCESTRY'.
'in' acts as a link.
(Other definitions for ancestry that I've seen before include "Blood line" , "Genealogy" , "Line of forebears" , "Any crest (anag.)" , "race" .)