Bit of pocket change to burn one's way through? (4)

I believe the answer is:

etch

I'm a little stuck... Click here to teach me more about this clue!

'burn one's way through?' is the definition.
I can't judge whether this definition defines the answer.

'bit of pocket change to' is the wordplay.
'bit of' indicates a hidden word.
'ETCH' is hidden in the letters of 'pocket change to'.

Can you help me to learn more?

(Other definitions for etch that I've seen before include "Cut deeply (with acid?)" , "Engrave deeply" , "Cut; engrave" , "Wear away by chemical reaction" , "Carve into surface, impress deeply" .)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.