That trick with sticky tape is pretty good, but if the tape's glue is too strong, it can damage the more delicate clothes.

I've had that unfortunate tissue+laudry accident happen to me more than once (argh), so I have one of those reusable slightly-sticky lint rollers, of the kind where you just clean the roller with water, and it works best when slightly moist.

But I realised I can get at least some of the lint/tissue off if I wet my hand, swipe it once or twice energetically over the garment, wash the lint off hand, repeat (ad infinitum). After you do that, set the washer for rinse+spin only and run the clothes a few times through that cycle.