I don't really know too much about it, other than its an apertif (We tried it when in Rome last June, and brought some home)
My understanding is that it started in early times as a sort of mixture of vodka and a rendering of lemon zest for flavour.
I think it would do well with some sherberts as a dressing (like you use Creme de menthe on ice cream)I don't think this would go with vanilla ice cream, though...) Using it as a baking ingredient would be wasteful, unless it has some strange property I don't know of...if you want lemon, there's lemon juice, lemon zest or (probably) lemon extract...
On the other hand, dousing a bit onto your lemon pie before the meringue goes on might add some zip, or even if you could get the meringue to perform with some of this beaten into it...
(sip, sip)
I can't say I can see this used with shrimp (maybe flambeed?) but it might be interesting if you could fit it in with crab or lobster somehow....or perhaps as a part of poaching fish, or as a dressing (instead of lemon juice) on grilled fish....(tried it with a bite of the leftover grilled salmon from last night, and not bad...perhaps if the salmon was hotter and this was mixed with butter, but its still a little sweet...
Perhaps with club soda or Sprite, and chilled...or with vodka, shaken up into a martini? A new "Cosmopolotan"?
Like Mudbug, we've just regridgerated and served it straight up and ice cold, to the ladies as an interesting apertif...
Lifter