Author oddly chasing cat from the fruit (6)
I believe the answer is:
tomato
'the fruit' is the definition.
(I've seen this before)
'author oddly chasing cat' is the wordplay.
'oddly' indicates alternate letters.
'chasing' says to put letters next to each other.
'cat' becomes 'tom' (a tom is a male cat).
The alternating letters of 'author' are 'ato'.
'ato' put after 'tom' is 'TOMATO'.
'from' acts as a link.
(Other definitions for tomato that I've seen before include "Love apple (archaic)" , "A motto turned out to be fruit or veg" , "It used to be call a love-apple" , "A glossy red fruit eaten as a vegetable" , "Fruit, often used as vegetable" .)