Bumper possibly clipped by old lady (4)
I believe the answer is:
mega
'bumper' is the definition.
I know nothing about this answer so I cannot judge whether this works.
'possibly clipped by old lady' is the wordplay.
I cannot really understand how this works, but
'possibly' could be 'eg' (for example) and 'eg' is located in the answer.
'old lady' could be 'ma' (both can mean mother) and 'ma' is found within the remaining letters.
No letters remain.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for mega that I've seen before include "Great - denoting a million" , "Great American" , "Terrific" , "'Excellent, colloquially (4)'" , "Very large (prefix)" .)