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Our 5 ks Chandra ACIS-S observation of the globular cluster NGC 6652 detected seven X-ray sources, three of which were previously unidentified. This cluster hosts a well-known bright low-mass X-ray binary, source A (or XB 1832-330). Source B shows unusual rapid flaring variability, with an average LX (0.5-10 keV) ~2 × 1034 erg s-1, but with minutes-long flares up to LX = 9 × 1034 erg s-1. Its spectrum can be fit by an absorbed power law of photon index Γ ~ 1.24 and hardens as the count rate decreases. This suggests that part or all of the variation might be due to obscuration by the rim of a highly inclined accretion disk. Sources C and D, with LX ~ 1033 erg s-1, have soft and unusual spectra. Source C requires a very soft component, with a spectrum peaking at 0.5 keV, which might be the hot polar cap of a magnetically accreting polar cataclysmic variable. Source D shows a soft spectrum (fit by a power law of photon index ~2.3) with marginal evidence for an emission line around 1 keV; its nature is unclear. The faint new sources E, F, and G have luminosities of 1-2 × 1032 erg s-1, if associated with the cluster (which is likely). E and F have relatively hard spectra (consistent with power laws with photon index ~1.5). G lacks soft photons, suggesting absorption with NH > 1022 cm-2. [ABSTRACT FROM AUTHOR]