At home, anxious and ardent (7)
I believe the answer is:
intense
'ardent' is the definition.
(I've seen this in another clue)
'at home anxious' is the wordplay.
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'anxious' becomes 'tense' (I've seen this before).
'in'+'tense'='INTENSE'
'and' acts as a link.
(Other definitions for intense that I've seen before include "Powerful" , "Very marked" , "In an extreme degree" , "Extremely emotional" , "Deeply felt or vehement" .)