Tadi damagimda kaldi.

Is this: The taste lingers in my mouth??

  thanks in advance

Tadi damagimda kaldi.

damak = palatal / the roof of the mouth

Your translation looks ok.

it is an expression to explain the taste of food and drinks

i mean, when we eat or drink something we say "tadý damaðýmda kaldý" if we liked it so much