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We analyse the fifth roAp star reported in the Kepler field, KIC 7582608,discovered with the SuperWASP project. The object shows a high frequencypulsation at 181.7324 d$^{-1}$ (P=7.9 min) with an amplitude of 1.45 mmag, andlow frequency rotational modulation corresponding to a period of 20.4339 d withan amplitude of 7.64 mmag. Spectral analysis confirms the Ap nature of thetarget, with characteristic lines of Eu II, Nd III and Pr III present. Thespectra are not greatly affected by broadening, which is consistent with thelong rotational period found from photometry. From our spectral observations wederive a lower limit on the mean magnetic field modulus of <B> = 3.05$\pm$0.23kG. Long Cadence Kepler observations show a frequency quintuplet split by therotational period of the star, typical for an oblique pulsator. We suggest thestar is a quadrupole pulsator with a geometry such that $i\sim66^\circ$ and$\beta\sim33^\circ$. We detect frequency variations of the pulsation in boththe WASP and Kepler data sets on many time scales. Linear, non-adiabaticstability modelling allows us to constrain a region on the HR diagram where thepulsations are unstable, an area consistent with observations.

KIC 7582608: A new Kepler roAp star with frequency variability