Biden agitated by Cruz for one owing money (8)
I believe the answer is:
indebted
'one owing money' is the definition.
(I've seen this before)
'biden agitated by cruz' is the wordplay.
'agitated' is an anagram indicator.
'by' is a charade indicator (letters next to each other).
'cruz' becomes 'Ted' (US politician Ted Cruz).
'biden' is an anagram of 'indeb'.
'indeb'+'ted'='INDEBTED'
'for' acts as a link.
(Other definitions for indebted that I've seen before include "Owing money, gratitude" , "Owing gratitude to another for help" , "Under obligation to, for loan or favour" , "Owing gratitude for a favour done" , "Obligated" .)