tittynope

Etymology
Originally Yorkshire dialect for a small quantity of grain in gleaning. gives, found in West Yorkshire, as a synonym; the same word has an additional meaning of in the dialects of Lancashire and Norfolk, and is likely a variant thereof.

By analogy, might be from  +  +. Note that "tit-nope" is attested dialectally, referring to the blue tit.

On the other hand, some websites give a derivation from. There are many similar-sounding words meaning "small" such as and, so the first part of the word could simply be an example of ; although if the etymology above is correct, it likely derives from the same source as the bird.

Noun

 * 1)  A small amount left over; a modicum.