It could be due to the type of teether. There are wooden, rubber, silicone, gel and plastic teethers to name a few. My baby likes chewing on a water filled teether from Pigeon which has been chilled in the fridge. It costs less than $5 and can be purchased from NTUC Fairprice. You can also get silicone teething necklaces from Mumspick.
It defers from baby to baby. I bought a couple of teether for my boy. There is one that is in the shape of a pacifier but he don't like it as it is very difficult to hold. I bought this teether from kiddy palace and he really loves it. There are different kind of texture for him to play with.