I drink a hella lot of tea and none of my friends, family, or loved ones has ever said I smell like any of it afterwards. The boyfriend's occasionally given me a kiss and said "Oh, a sencha day, is it?"...but that's a bit more understandable.
Garlic, on the other hand, owes it's scent to a variety of compounds containing sulfur. When they are metabolized, they form something called allyl methyl sulfide which isn't metabolically usable, so it hangs around in your blood stream until your body gets around to filtering it out. While it hangs around, though, some of it does get into your saliva and sweat...thus making the smell.
To my knowledge, tea doesn't have anything as potent or as concentrated as garlic's sulfur compounds to have an effect anywhere near that "too much garlic" smell.
[disclaimer]Everyone's metabolism is different, everyone's sense of smell is different, blah blah blah, contact your doctor.[/disclaimer]