Does the Clemmensen reduction reduce the C=C bond of α,β-unsaturated ketones?
Both are not quite correct. A quick literature search doesn't turn up any hits for the Clemmensen reduction of this particular aldehyde, but March's Advanced Organic Chemistry, 7th ed. (p 1541) writes about the Clemmensen and Wolff-Kishner reductions:

Neither method is suitable for α,β-unsaturated ketones [...] Under Clemmensen conditions, both groups of these molecules may be reduced or if only one group is reduced, it is the C=C bond.

Large structural rearrangements are common under the vigorous conditions: see, for example, Helv. Chim. Acta 1976, 59, 962. &quot;In all cases but one the formation of cyclopropyl acetates was observed.&quot;
It seems that there are some situations in which the ketone is selectively reduced, but this is not general: see Tetrahedron 1986, 42, 6615.