In the US a mortgage with a rate that resets after 5 years would be considered an adjustable rate mortgage, although the rate would typically reset yearly after the initial 5 years (a 5/1 ARM).
A mortgage that ends after 5 years and needs to be renewed would be considered a balloon mortgage, and they are rare in the US. They are "non-qualified" mortgages which means the government sponsored entities won't buy them, so there is a limited secondary market and they have much higher rates.
I don't think I would sleep great at night knowing that every 5 years I would need to either get a new mortgage loan or lose my house.