Thanks model also for surface decoration (6)

I believe the answer is:

tattoo

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

'surface decoration' is the definition.
'tattoo' can be an answer for 'decoration' (tattoo is a kind of decoration). I'm unsure of the 'surface' bit.

'thanks model also' is the wordplay.
'thanks' becomes 'ta' (UK informal version of 'thank you').
'model' becomes 't' (Ford Model T car).
'also' becomes 'too' (synonyms).
'ta'+'t'+'too'='TATTOO'

'for' acts as a link.

Can you help me to learn more?

(Other definitions for tattoo that I've seen before include "image on one's skin" , "Drumbeat, or design on skin" , "Edinburgh show" , "personal adornment?" , "piercing?" .)

I've seen this clue in the Sydney Morning Herald.

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