Caramel Apple cocktail garnish
Leave the caramel to cool further, as the thickness should increase as it cools.  Once it is at the required thickness, you can drip ropes of caramel on to the apple to make a drip effect.  Alternatively have a separate thicker caramel to make the drip effect.

This is can be seen as a sugar work/pulled sugar technique.  Also it woudl be recommended to do this in advance to allow the caramel to fully harden.  Note: temperature and humidity can affect the caramel.