Couldn't find any Lydians, 

but here's a 15mm heavy chariot from  Venexia Miniatures

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Jonathon Philp wants to raise an army of Lydians, but queries how war-dogs and their handlers might be represented.

My suggestion is that they be fielded as Skirmish Order Average Medium Infantry, armed with Sidearm only.  

I think that a Medium Infantry rating is better than a Light Infantry rating as I'd certainly want to wear armour if regularly handling war-dogs, and it fits with the idea of the handlers being selected King's Servants or the like.