Quote (AtomicCynic @ Jun 17 2012 07:49pm)
Celery has a high concentration of chemicals known as furanocoumourans. These are actually quite toxic. The main concentration is normally found in the celery root, but as the stalk gets older and starts to wilt/rot, the concentration in the stalk rises. Furanocourmourans are toxic by themselves, but when activated by UV light, they produce chemicals that can cause severe blisters and burns.
In other words, you're allergic to that chemical, as are a lot of people.
This, except it's furanocoumarins (a type of psoralen), not furanocoumourans

Furanocoumarins are defensive agents produced by certain plants to protect themselves against various types of fungus (brown rot on celery for example), bacteria, insects and mammals (yes that includes people).
To further check out if this chemical is a problem for you perhaps you may evaluate whether some other plants or fruits have the same numbing effect. I'd recommend a fruit like the fig, an herb like fresh parsley and a vegetable like parsnip. If they induce a similar tongue numbness, then perhaps you should avoid those as well. Note that you may act differently to fresh and dry parsley..