Get rid of acid brought up: eater struggling to swallow it (9)
I believe the answer is:
eradicate
'get rid of' is the definition.
(I've seen this before)
'eater struggling to swallow it' is the wordplay.
'struggling' is an anagram indicator (the letters struggle or wriggle into a new form).
'to swallow' is an insertion indicator.
'it' becomes 'dica' (I can't explain this - if you can you should give a lot more credence to this answer).
'eater' anagrammed gives 'erate'.
'erate' going around 'dica' is 'ERADICATE'.
'acid brought up' acts as a link.
This may not be correct. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for eradicate that I've seen before include "Expunge" , "Kill" , "Destroy completely" , "Extinguish, wipe out" , "Scotch" .)