Do you mean memorising all one and two digit multiplications up to a hundred times table ( 2x to 100x) or memorising 2x to 10x tables (last answer is 100)?
Check this.
I am still playing around with the idea of memorising the 2 digit multiplications myself. A recent idea I got was to memorise only the three starting digits on the answer and group together in a location based on that, then get the last digit by quick multiplication Eg: For 48*59=2832. I will put 48*59 along with other answers starting with 283 in a room made for it. But I need a three digit system for this to work. (I already have a two digit PAO).
Also, in my (admittedly limited) experience, memory techniques memorization won’t give you the quick fluency you’d want, to be able to use 2 by 2 multiplication for long problem solving (Like 8 by 8 multiplication). Unless you just want to be able to give the answer to any given 2 by 2 multiplication and do divisions with them.