You mean other than the two dragonflies that we have that are somehow not Bug/Dragon? (Yanmega is Bug/Flying, and Flygon is Ground/Dragon with a Bug egg group.) Maybe something like that, except with a few more draconic features. Oh! It could possibly take some inspiration from scorpions, wyverns, or something else like that.
If it's particularly physical, I could possibly see something like Compound Eyes working, giving things like Dragon Rush more viability. Or it could be safe and go with something like Guts or Moxie. And then a dragon type with the move Fell Stinger would be SCARY to deal with. Plus, a STAB U-Turn to go with it would also be frightening.
And of course, giving a special-based dragon type Quiver Dance or Tail Glow would be equally as frightening. Though there aren't as many special-based Bug type attacks, there are still quite a few other options (especially considering the dragon type's sense of versatility with coverage).
Other possibilities could be Adaptability (imagine a 100BP Fell Stinger due to STAB), Berserk (since dragons can usually take one or two non-supereffective hits), Contrary (perfect for Draco Meteor spamming), Hustle (for the added strength), Infiltrator (because bugs tend to be good at getting into places, and dragons are generally relentless), Levitate (which is probably the… safest (?) option), Multiscale (which would help with survivability), Sheer Force (though, that'd probably be not as good for the bug attacks), Tinted Lens (which would be perfect for a powerful attacker who might otherwise get walled by certain types), or Tough Claws (which is definitely good for physical attackers).
The possibility are amazing. They really are. I want one. I really, really want one.
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