For things that have had contents with volatile oil like thinners they should be left for a few days to completely evaporate it before being disposed of as non-flammable waste.
こっちにきてから、ずっと近所でビバークしてたの?大変だったね。
You've been camping out ever since you came over here? Must have been terrible.
あ、とりあえず包帯しているけど、もし煩わしかったら、家に帰ってからカットバンに代えても大丈夫よ。
Ah, well I've bandaged it for the meantime but if that's awkward then it's fine to replace it with a plaster when you get home.