If it's only on the high E going up the neck and it doesn't happen on any other strings anywhere, then it seems most likely to be the bridge saddle groove or the action is just set too low on that string.
If it was anything to do with the trem block or how the bridge is sitting on the guitar, I'd suspect you would hear it on the D and G strings also, anywhere between the 7th to 12th frets. That's been my experience.
First show: 1973
Last show: 1994