Stretching ones resources for example round members of the family (5)
I believe the answer is:
eking
'stretching ones resources for' is the definition.
I can't judge whether this defines the answer.
'example round members of the family' is the wordplay.
I cannot quite see how this works, but
'members' could be 'kin' (I have seen 'Members of family' mean 'kin' so perhaps 'members' could also mean 'kin') and 'kin' is found in the answer.
'example' could be 'eg' (short for 'exempli gratia', 'for example' in Latin) and 'eg' is present in the remaining letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for eking that I've seen before include "With difficulty, making" , "Squeezing (out)" , "Managing to make (a living)" , "Making last longer by careful use" , "making up the required amount" .)