I grew up in a country where everyone always drinks tea with *something*. Normally, with grandma's home-made jam. I wnt through many ideas of what to drink the tea with (good 3 - 4 mugs the way I normally do in the evening, the least damaging thing. Here is what I tried and why not:
-boiled eggs - meh flavour
-fresh cabbage - cold cabbage doesn't work with hot tea
-peanut, and after going paleo, almond-hazelnut butter - tend to eat far too much butter!
-sweeter fruit, like water melon (eat too much fruit)
-quark with cocoa powder (stopped working when stopped eating dairy)
-nut butter with cocoa powder (tastes bad, like savory!)
-cheese (eat too much)
-sugar-free gello (okay, but who needs artificial goo, and it's not jam)
-dry fish (not bad, but too much salt).
-honey - a teaspoon but the trick is to eat honey at one gulp, so tea does not dilute sweetness. then drink up the mug
-frozen berries - go slow because frozen!
-sour apple - 1 apple cuts into many, many, many tiny, tiny, tiny slices! Lasts for a few mugs.
-all-natural ham (YUM! but expensive, damn it).