The flasher needs to be replaced. You can get for around $25 at Schucks. Look under the driver's side dash and way up on the left you should see the original green flasher. Pull out and plug in new one. Hard to reach, but definetely a do it yourselfer.
Check the fuses first of all. I think the Durango has two flashers as well, one for the hazards and one for the signals so it could be a bad flasher.
Could be the flasher unit.
The Durango should be the same as a Dakota. Only one flasher for both signals & hazards. Located in fuse box on left side of dash. Look on inside of cover that you take off & it will tell the location. Usually at the bottom of the fuse panel
Well I personally have a 2000 Malibu LS and have had the same troubles random clicking noises when signals aren't on then no signals or random signals. The problem is your hazard relay switch, it is located in your dash board very easy abd cheap fix.
Probably the Electronic Flasher. These ,when the fail,will allow the Signals and/or hazard lights to work intermittently. The flasher is the same for both the signals and hazards.
Start with the easy fixes first. Check your fuses. If your fuse that is labeled for the turn signals is not blown, then it is most likely the combo switch in your steering column that your turn signal switch is connected to.
http://www.grandamgt.com/forum/showthread.php?t=50126
Relays. Most RR signals still use relay technology.
A clicking noise from the dash on a 2003 Mercedes Benz might be the flasher for the turn signals. Sometimes the flasher will make a clicking noise if it is about to go out, to let the driver know it is time to replace the flasher relay switch.
Dodge Durango turn signal relay locationThat relay is on a hidden panel, behind the interior fuse panel you access by opening the driver's door. You get to the hidden panel from under the dashboard, and it will be the 5 pin relay at the very top of the panel. I replaced this relay on my 2000 Durango to restore the turn signals just yesterday.
check you light bulbs
in transition the states are changed from one state to another but in event the signals are changed or trigered with respect to that signal.