Rudely take lighter, shortly given up (4)
I believe the answer is:
grab
'rudely take' is the definition.
'grab' can be an answer for 'take' (grabbing is a kind of taking). I am not sure about the 'rudely' bit.
'lighter shortly given up' is the wordplay.
'lighter' becomes 'barge' (synonyms).
'shortly' means to remove the last letter.
'given up' is a reversal indicator (in a down clue, letters go up).
'barge' with its last letter removed is 'barg'.
'barg' back-to-front is 'GRAB'.
Can you help me to learn more?
(Other definitions for grab that I've seen before include "Brag about seizure" , "interest" , "Seize rudely" , "Catch hold (of)" , "Take quickly" .)