Multifunction switch

[JGuevaSkye]

I drive an 04 tj and the other day I tried to use my left turn signal and made a buzzing sound. Then when I turned on the headlights the left turn signal is constantly illuminated on the cluster. When driving on the highway every mile it starts beeping. If I hit the right turn signal it stops the beeping.
Does this sound like a bad multifunction switch to you?

 

[TJ Jim]

Not sure about the buzz but I’d start by replacing the burnt out bulbs. Left front or rear bulb burnt out is usually a sign of the inside turn signal light lit. Last resort is the multi function switch or look for charred wires at the plug.

 

[LONGJP2]

I drive an 04 tj and the other day I tried to use my left turn signal and made a buzzing sound. Then when I turned on the headlights the left turn signal is constantly illuminated on the cluster. When driving on the highway every mile it starts beeping. If I hit the right turn signal it stops the beeping.
Does this sound like a bad multifunction switch to you?

Welcome

Yes, the MFS can cause those issues, among other things.
I would also check the grounds near the headlights.