Meaning
A thinker — the Patois pronunciation of 'thinker', with the 'th' hardened to 't'. A 'deep tinka' is someone thoughtful and reflective who reasons things through. It can also carry the English 'tinker' sense of a fixer/mender, but the 'thinker' meaning is the usual one.
Examples
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Him a deep tinka, always a reason.
He's a deep thinker, always reasoning.
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Yuh haffi be a tinka fi solve dat.
You have to be a thinker to solve that.
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Di tinka dem plan before dem move.
Thinkers plan before they act.
Origin
The Patois pronunciation of 'thinker' (th → t). See the 'th→t' shift in 'ting', 'tink'.
How it’s used
A thinker/reflective person; note the th→t shift (also 'ting', 'tink'). Compare 'reason', 'medz'.