Don't get me wrong, ripping out a line (or 12) of stitching that went awry is not going to become "fun" because you have a lint roller. But it will become less tedious.
Step One: Realize you messed up your stitching.
Step Two: Slap your forehead once, firmly but not too hard. You want to reinforce to yourself to not do what you just did again, NOT knock yourself so hard you forget what you were doing or worse PASS OUT.
Step Three: Watch your language. There may be children present.
Step Four: Unpick the nasty business with your seam ripper of choice.
Step Five: I'm serious. Watch your mouth.
Step Six: Get out that lint roller you never use. You do have a lint roller don't you? If not, they're cheap and you can get them almost anywhere.
Step Seven: Run your roller over that hot mess of threads you've got hanging out of your project. See how easy they come out? Isn't that dandy?!
Perhaps, but not dandy enough to start messing up projects on purpose.
[Author's note: This post may or may not have been inspired by my latest dress alterations project.]