Facial Tissue in the Wash?

I Have used those lint rollers that are like inside out masking tape. The brand name ones tend to stick to the lint better and make it less work.

I hate it when that happens! No matter how careful I am I seem to do that at least once a year!
If the clothing item is being drip dried only because of a shrinkage issue I would imagine you could tumble it in the dryer with no heat and that would remove much of the lint.
If it is is a fragile item that can't be tumbled then I think you'd need to rewash it and rinse (and rinse) in fresh water until all the lint was removed.

I would let the drip dry things dry then toss them in the dryer on fluff--a cold setting or the last few minutes on most dryer settings is a cool down time and might be enough to fluff the tissue off.

I use a piece of nylon netting to remove lint from
clothing in the dryer. 1/2 yard should be more than enough & your cost should be 50 cents or less.

I rewash mine when it happens to me. Also, you can put them in the dryer on "air fluff" cycle. If you add another item like a towel when you fluff them in the dryer, they'll come out better...