Tactile telekinesis, based on the name, is supposed to be telekinesis activated by touch. Superboy's telekinesis used to only work on stuff he could touch, but "Titans Tomorrow" showed that it evolves to more standard, ranged telekinesis. It may have started evolving in the present already, but I can't remember him using it on something he wasn't touching.
Anyway, basically tactile telekinesis used to be the explanation for how Superboy could be so strong even though he was cloned from human DNA. Anything he touched, his telekinesis would act on--that translated to amplifying the strength of his punches, helping hold really heavy things that Superboy picked up, etc. Basically, it was just another form of super-strength. Since Superboy was retconned to be a clone of Superman and Lex Luthor, his Kryptonian super-strength has been emerging. I don't think it's directly mentioned in the comics, but one could infer that Superboy's strength when he died was a mix of Kryptonian super-strength and tactile telekinesis.
Oh, his tactile telekinesis was also what he used to fly. You could also infer that his Kryptonian genes have displaced that, though. Mostly, when he died, his tactile telekinesis was almost never mentioned. He relied much more heavily on his Kryptonian powers when they started emerging.
Wait... was I just defending Stephanie Brown? 
I take it back 
Beyotch 
