I think you may be able to dye clothing or cloth labeled as 'Green Cloth'. Aren't things made of this able to be dyed with Tokuno Dyes? Certainly one of our boardies more knowledgeable can help me out here!
I am enjoying the Slimes, even with the inability to dye cloth. I've had tons of fun shopping for all manner of deco items and extra accessories to dye, and in the process found a few new shops that I will be sure to revisit.
The cloth that can be dyed is "green" tagged, however because the colors are easily matched to a regular dye tub they would be better used to hold in reserve in case we ever get a return of the slimes event with more unusual colors.
I've found lots of stuff to dye, and am still not finished with all my crafting/dying that I want to do. For example:
The counter tops for the display plants at this (very much unfinished) plant vendor house are made from the center pieces of tan-dyed hardwood tables. You can see on the east edge where I had to use small tables because of the new add-on placing bug (yuck). I still need to do a bunch of elven loveseats to use in the runelibrary for this shop as well as some other things I want to do. I am debating doing the floor out of the center parts of dyed pentagrams, which would be another huge batch of deeds to dye.
A short list of some carp menu items you can slime dye that are not add-ons and cannot be furniture dyed:
canvas with easel
shoji and bamboo screens
open kegs
barrel lids
bulletin boards
white and red hanging lanterns
Other things you might not think of:
virtue dungeon items like the luck statue (looks very good in the green) and map of the known world
rose of trinny & tapestry of sosaria
regular lamp posts are stealables too
candleabra of souls are artifacts and look great in "silver"
Sadly tinkered items for the most part do not dye, even the wooden items made from special woods. Oh well, it's better for my storage this way, I suppose.
I'll take more pictures later.