Psychometry is fun, but you have to be careful to not use it to trivialize any sort of mystery. "Zap, I know what happened here..."
It can also be weaponized in a couple of ways.
Causing someone to relive past traumas, or sharing your own past traumas, with them (particularly brutal for a mom to do, 'sharing' the experience of a 10 hour labor compressed into a couple of seconds with some poor schmuck). Tapping into the memories of past users of a weapon or item that's been used by an expert, so, picking up Katana's katana and suddenly being able to access her skill with it, because you can tap into the sword's past user's skill would be another crazy tweak. "Hey, Batman, thanks for the batarang, which I've never used before, and just like that, I can suddenly use as well as you can..."