I don't think it will hurt anything. I use to keep a half gallon in an ammo can and clean all the parts except grips and plastic in it. I only stopped because Hoppe's got too expensive to use it as a dunk cleaner. Never had a problem. When it gets dirty just strain it through a cloth or coffee filter and put it back in the can.
As is discussed in other threads, an ammo can full of Ed's Red, or one of its many variations, is a great way to speed cleaning. Most use a wire basket in which to sink their parts.
My (current) version:
1 qt. automatic transmission fluid
1 qt. kerosene
1 qt. low odor mineral spirits
1 qt. Goo-Gone citrus based cleaner (the mineral spirits formulation. They also sell water based suspensions, gels, etc.)
NOTE: Goo-gone EATS plastic! (My gun is all metal, so no worries)
I swab the bore with commercial copper solvents and let the barrel sit separately (in an olive jar) for a couple of hours, before dropping it in with the other parts. smity
p.s., my freind uses mineral spirits (2 parts) and Hoppes No. 9 (1 part), rather than Ed's Red in his ammo can. Others think ethanol should be included (which is also in Hoppes No. 9!).