One foolishly talked through part of speech — a travesty! (3)
I believe the answer is:
hat
'one foolishly talked' is the definition.
I can't judge whether this defines the answer.
'part of speech a travesty' is the wordplay.
'part of' indicates a hidden word.
'HAT' can be found hidden inside 'speech a travesty'.
'through' is the link.
Can you help me to learn more?
(Other definitions for hat that I've seen before include "Eg, derby" , "Bowler maybe" , "Accessory" , "Headwear" , "Item of headgear" .)