Yes!   My hamsters do recycle.   They seem to shred and make bedding out of our
throw-away cardboard type boxes.   And of course always making sure there isn't anything harmful left in the box when it is given to them.
Speaking of hamsters recycling to make nesting for their own homes.
Over the years what has proven the most practical and easiest to clean home for our hamsters
have been the 15 gallon (24 by 13 by 13) reptile or critter cages with locking screened sliding lids.