Wikipedia has the following to say about that specific brand of adhesives:
After curing, the joint is claimed to be impervious to boiling water
and all common organic solvents.
Assuming yours is an epoxy-based adhesive, this forum offers a lot more information on the food-safety of (general) epoxies:
You can use epoxy - once fully cured, it is pretty inert stuff (generally takes a week to two
weeks). Separately, the hardener and resin
are not. But once its undergone full cure, it is. I spoke to the tech
guys 20 years ago from one of the more popular marine epoxies, as I
was hoping to coat the insides of a few bins that were to hold food. I
was asking about using their epoxy. He could not technically say "yes"
as it doesn't have a certification for food contact. Off the record he
said as long as you let the epoxy cure fully, it won't be an issue.
But, following that post, and verbalizing my thoughts at this point (somewhat ironically maybe):
Andrew's answer sounds right to me, but really important issues merit
more research than reading answers on an Internet forum.
One of the users contacted another company that produces adhesives, about the safety of using it on kitchenware:
I used some of the Bob Smith epoxy, so I emailed them and asked. The word I got back was: the slow-cure is food safe as long as it is not heated above 180 degrees Fahrenheit.
Most interestingly of all of these, however, is the last post: it mentions that most epoxies conform to the FDA CFR 175.105 specification, which basically means, although emphatically not guaranteed to be food-safe, it can be when applied properly. Meaning that, once again, the epoxy has to be completely cured:
Epoxy reaches it full cure in 7+ days. It will
cure to within ~80% in the first 24 hours, but the full cure takes
time.
In short, leave your mug drying for at least a week, after which make sure it has completely hardened and is odourless.
In addition, you might want to check out this document: it lists several of Araldite's epoxies (or components) that meet the FDA CFR 175.105 or the (stricter) FDA CFR 175.300 specification. Maybe the specific Araldite adhesive you used is mentioned there as well, giving you even more peace of mind.