Foundry - is number/time of unclaimed limited?

Since there is a limitation of our inventory when it comes to warframes and weapons for example I was wondering - since I'm crafting most things ASAP as I get their blueprints and the materials...

Is there a limit of how many items ready to claim I can have in foundry + do they stay there forever until I claim them or they can dissappear one day?

I've read that if item dissappears from foundry I can send a ticket, but I'm not very good with my memory so I would probably notice I'm missing an item but wouldn't remember which one. Does this happen often or does it even happen anymore now?