Are crown ethers "recycled", typically?
Crown ethers are typically not recycled because they remain in the organic phase where normally also all the byproducts are (so the purification is very complicated) and they are still complexing the alkali metal after the reaction.
You want to recycle them to again complex some alkali metal, but then you have first to break down the previous complex, which is not straightforward. 

To recycle crown ethers you must use a different approach. 
The trick is to immobilize them on some solid support. 
Typically, you have some crown ether functionalized monomer and polymerize it, or you have some reactive polymer and introduce the crown ether at the end. 
A review can be found here.

These solid phase crown ethers are used in the same way as the better known ion exchange resins. 
The problem is that you will have to synthesize them, because they are not readily available for purchase.