Cleric Invis Clicky??

[Daldaen]

Cloudy Potions - Vendor bought for 10pp - 1 Charge
Rings of Shadow - EC Bought around 250-350? - 3 Charges - Buyback is about 21pp, so recharging 1 ring is 3 charges for 40 plat, 2 rings is 6 charges for 60 plat etc. I'd suggest carrying 4~ rings
Larrikan's Mask - EC bought around 500? - 10 Charges - Buyback is less than 1 plat but they are lore so you cannot recharge yourself. Also not instant cast invis like the above two.
Incarnadine BP - EC bought around 20,000? - Unlimited charges. Gets nerfed 3~ months into Velious to be War/SK only. Also has a longish cast time.

Verrious:

Gnomish Vanishing Device - Tinkered item with 305 triv and components like haze Panther eye and a diamond. Expect these to sell for 10,000+. They have 5 charges but you can recharge them in a toolbox with mana batteries. If you keep a Deluxe Toolbox on your character as a 10 slot bag and keep a stack of mana batteries. Between the vanishing device and stack of batteries that's 105 Charges of invis split between two slots. Each battery is about 50 plat so it works out to 10plat per invis also.

Thats all I can think of for invis clickies on clerics.