  We construct a Lifshitz-like version of five-dimensional (5D) QED which is UV
- completed and reduces at low energies to ordinary 5D QED. The UV quantum
behaviour of this theory is very smooth. In particular, the gauge coupling
constant is finite at all energy scales and at all orders in perturbation
theory. We study the IR properties of this theory, when compactified on a
circle, and compare the one-loop energy dependence of the coupling in the
Lifshitz theory with that coming from the standard 5D QED effective field
theory. The range of validity of the 5D effective field theory is found to
agree with the more conservative version of Naive Dimensional Analysis.
