Above my mothers, on the shelf part of the closet is where i keep my clones. I let them show atleast 2 root fingers before i consider them "rooted". Takes about 2 weeks, and when thats done, ill veg them for atleast a week to help them get adjusted to the newer pot and grow its roots into that soil.
In your flowering cabeinet should be fine for the first couple days, but i wouldnt recommend keeping them in that box til they are rooted. Its possible they might start converting to the flowering hormones in that period of time, even with no root structure. Ive put 2-4 inch clones in my box and they will start to flower. Veg cabinet if u have it on 18/6 should be perfect. Also a trick ive been doing alot after i take all my cuttings, is ive shut the lights off for 24 hours. They dont droop or look sad, and it helps them rest and start forming the hormones it needs to make those lil rooties!
Hope that helps!