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There are two grades of reflector lamps of the type we use out there. One has a plastic base, fine to focus some extra light on a bench project or the like. Those made to withstand having the fixture itself (usually being at the top of the reflector used with a high-wattage heat bulb) exposed to lots of heat, will have a ceramic base. When new, a lot of them will have a stiff wire hook from which to hang the whole rig. If absent, you might look your lamp over and see if there aren't a couple of nothces (or recesses) on opposite sides of the ceramic, into which you can insert the ends of a length of stiff wire, shaped into a sort of peaked-roof shape, from which to hang your lamps. Far more secure than the clamps, which ain't what they used to be for size or tension.