Person in group dropping money in dying fire (5)
I believe the answer is:
ember
'dying fire' is the definition.
(embers are the remains of a fire)
'person in group dropping money' is the wordplay.
'person in group' becomes 'member' (member of a group).
'dropping' indicates named letters should be taken away.
'money' becomes 'm' (abbreviation in economics).
'member' with 'm' taken away is 'EMBER'.
'in' acts as a link.
(Other definitions for ember that I've seen before include "Smouldering piece left over from a fire" , "One smouldering" , "Remnant of bonfire" , "Material in dying fire" , "Glowing cinder" .)