The problem with undertank heating for all lizards is that it makes it very difficult for them to regulate their own temperature. Really you need some form of overhead heating that heats one part of the terrarium more than another. This way the Tegu can moderate temperature by simply moving closer or further from the heat source.
Russ 1066's reply and photo shows what should be happening. Lots of different possiblities for the Tegu to self-regulate. The results speak for themselves.
Relying solely on underfloor heating is particularly ill-advised in the colder months, as it forces the Tegu to try and absorb as much heat as possible through its belly. Not only is this un-natural but often the heating supply has to be turned up high to get the correct heat in the rest of the terrarium. This can lead to serious burns.
It can also lead to increased risk from parasites which breed in the higher temperatures.
You say you have decided to keep your Tegu because you like him so much. Please make sure he says the same about you. 