well a lot of things can work in this problem.
1. there are a lot of things with a head and tail that never meet, such as a coin
2. there are a lot of things that could be considered treats, do you mean it has to be a sweet treat? -Or just something nice to have?
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the problem becomes more difficult if we are trying to look for something sweet and edible that also has a head and tail component (that never touches).
This has to therefore be something long and rigid that wouldnt be possible for the head and tail to interact meaningfully, and it also has to be sweet.
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a candy cane
You finally applying logic wow.
I am almost want to give this one to you on that basis but no incorrect. Only Tommy can get this one I think.