I Originally tracked down Proxima Centauri back in 2016, and had another go at it around mid 2018. I remember that when preparing observing charts for the area, there was conflicting information out there as to which star was actually Proxima centauri and to top it off, some charts showed a few stars which were not actually there. After both observations I remember feeling unsatisfied that I had actually seen Proxima. There was an 11 mag star close to the area but not shown on the charts except for one, an AAVSO chart from May 2018, but that chart showed two other stars (brighter ) which were not there. This last Friday I downloaded a new chart from the AAVSO and set out once again to see if I could Identify it. Once again, the location of Proxima conflicted with that shown on the chart. This time, the AAVSO chart showed Proxima roughly 1 arc minute south east of were I could actually see an 11 something magnitude star, the spot were the 2018 chart showed it to be. There is a disclaimer at the bottom of the Proxima chart which states that due to it's high proper motion the star is no longer at it's charted J 2000 position. So that is the cause of the discrepancy. And like Alan in this thread here, I was relying on information which is over two decades old now, and in the intervening years proxima's high proper motion has shifted it to were I saw it on Friday night. It's the closest star to us at 4.25 light year's, variable with a mean magnitude of 11.2 V and situated in a dense star field 2.2 degrees south west of it's sibling pair Alpha centauri AB, with an orbital period of 550,000 years and is about 0.2 Ly's from the pair.
As much of a hassle as it was to track down, it was worth it to glimpse the nearest star to earth other than the sun.
Here is a chart I made from a Wikisky image. Proxima's location is roughly were the X is. The circled object is proxima at the time the DSS2 image was taken and looks close to were the AAVSO chart for J2000 shows it.
Equipment used was an 18 inch F4.5 Dob and 12mm ES 92 degree eyepiece and Coma corrector at 191x.