I removed my '82's tank entirely and cleaned it out with a pressure washer not too long ago. I used a hair dryer to dry the inside after washing as these tanks will start to rust if you introduce water to the inside and don't dry them thoroughly.
I think it gives peace of mind if you remove the whole unit and clean the screen at the same time. I also blew the fuel lines with compressed air from the front of the car to remove any possible debris and changed both fuel filters and replaced the fuel hoses that connect to the tank. Then you know for certain it won't get clogged up right after you put it all back together.
Check out this video:
https://www.youtube.com/watch?v=f5FTgoImqxo