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We present a detailed chemical abundance analysis of 15 elements in theplanet-hosting wide binary system HD80606 + HD80607 using Keck/HIRES spectra.As in our previous analysis of the planet-hosting wide binary HD20782 +HD20781, we presume that these two G5 dwarf stars formed together and thereforehad identical primordial abundances. In this binary, HD80606 hosts an eccentric($e\approx0.93$) giant planet at $\sim$0.5 AU, but HD80607 has no detectedplanets. If close-in giant planets on eccentric orbits are efficient atscattering rocky planetary material into their host stars, then HD80606 shouldshow evidence of having accreted rocky material while HD80607 should not. Herewe show that the trends of abundance versus element condensation temperaturefor HD80606 and HD80607 are statistically indistinguishable, corroborating therecent result of Saffe et al. This could suggest that both stars accretedsimilar amounts of rocky material; indeed, our model for the chemical signatureof rocky planet accretion indicates that HD80606 could have accreted up to2.5~$M_{\oplus}$ of rocky material---about half that contained in the SolarSystem and primordial asteroid belt---relative to HD80607 and still beconsistent with the data. Since HD80607 has no known giant planets that mighthave pushed rocky planet material via migration onto that star, we consider itmore likely that HD80606/07 experienced essentially no rocky planet accretion.This in turn suggests that the migration history of the HD80606 giant planetmust have been such that it ejected any close-in planetary material that mighthave otherwise been shepherded onto the star.

Detailed Abundances of Planet-Hosting Wide Binaries. II. HD80606 + HD80607