Pleasant, a story capturing Kafka's heart (7)
I believe the answer is:
affable
'pleasant' is the definition.
(I've seen this before)
'a story capturing kafka's heart' is the wordplay.
'story' becomes 'fable' (fable is a kind of story).
'capturing' means one lot of letters goes inside another.
'heart' indicates the central letters.
The central letter of 'kafka' is 'f'.
'fable' placed around 'f' is 'ffable'.
'a'+'ffable'='AFFABLE'
(Other definitions for affable that I've seen before include "Kind and friendly" , "Cordial, friendly" , "Congenial, easy to walk" , "Genial and friendly" , "Warm and friendly" .)