Pedant's oddly dismissed worry (3)
I believe the answer is:
eat
'worry' is the definition.
(something worrying may eat someone up)
'pedant's oddly dismissed' is the wordplay.
'oddly dismissed' means one should take alternating letters (letters in odd-numbered positions removed).
The alternating letters of 'pedants' are 'EAT'.
(Other definitions for eat that I've seen before include "Munch" , "Bite, chew and swallow" , "Break bread" , "Consume for tea" , "Do cats - bats? Do bats - cats? (Alice in Wonderland)" .)