Being niggardly makes me a bit angry (4)
I believe the answer is:
mean
'being niggardly' is the definition.
(I've seen this before)
'me a bit angry' is the wordplay.
I cannot quite see how this works, but
'me' is within the answer.
'a' could be 'an' and 'an' is found in the answer.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).
'makes' acts as a link.
Can you help me to learn more?
(Other definitions for mean that I've seen before include "Being near" , "Skilful" , "Signify; stingy" , "Stingy; Scrooge-like" , "Relating to flowers" .)