I have a kenmore elite model 110.8586 or 8587 anyway I cleaned my lent screen put it back as I always do after every load and know it say check lint screen

Possibilities

The sensor is dirty..remove the lint trap and clean the orifice with a Swiffer duster. Dryer sheets can clog the lint trap use a tooth brush and detergent to clean the lint trap. Alternately see if it presents the same issue operating it without the lint trap. If you have an air compressor blow out the slot too. Make sure the main exit hose is cleared also *vent duct*. Tip the unit and blow the air in too.

Or a melting type fuse mounts on the blower housing and is tied into the same circuit as the door switch. When it melts it shuts down everything and this keeps the lint from catching fire.

Also check the belts.

You can turn off the beeping if you would like. Instructions are in the manual. By Pressing the buzzer button it has Loud medium low and off positions.

Remove the rear vent and try the unit...

I'm thinking that your sensor is probably the issue here.