We introduce the first result of the Clusters Hiding in Plain Sight ( CHiPS ) survey , which aims to discover new , nearby , and massive galaxy clusters that were incorrectly identified as isolated point sources in the ROSAT All-Sky Survey . We present a Chandra X-ray observation of our first newly discovered low-redshift ( z = 0.223 ) galaxy cluster with a central X-ray bright point source , PKS1353-341 . After removing the point source contribution to the cluster core ( L _ { nuc } \sim 1.8 \times 10 ^ { 44 } erg/s ) , we determine various properties of the cluster . The presence of a relaxed X-ray morphology , a central temperature drop , and a central cooling time around 400 Myr points to it being a strong cool-core cluster . The central galaxy appears to be forming stars at the rate of 6.2 \pm 3.6 M _ { \odot } / yr , corresponding to \sim 1 % of the classical cooling prediction . The supermassive black hole in the central galaxy appear to be accreting at \sim 0.1 % of the Eddington rate with the total power output of \sim 5 \times 10 ^ { 45 } erg/s , split nearly equally between radiative and mechanical power . We see weak evidence of localized excess entropy at a radius of 200 kpc which , if real , could imply a recent ( \sim 180 Myr ) energetic outburst in the core that has risen buoyantly to a larger radius . Comparing the cluster ’ s bulk properties with those of other known clusters ( e.g. , the total mass M _ { 500 } is 6.9 \substack { +4.3 \ -2.6 } \times 10 ^ { 14 } M _ { \odot } , and the bolometric X-ray luminosity L _ { X } is 7 \times 10 ^ { 44 } erg / s ) , we show that this cluster is sufficiently luminous that it would have been identified as a cluster in the ROSAT All Sky-Survey data , if it did not have such a bright central point source . This discovery demonstrates the potential of the CHiPS survey to find massive nearby clusters with extreme central properties that may have been missed or misidentified by previous surveys .