Looking at the catalogues on their website here http://www.gretschguitars.com/support/catalogs , I think it's only fairly recently (in the 2013 catalogue) that Gretsch re-introduced ukuleles as part of their 'roots' collection, and the one you have pictured there doesn't seem to be one of those, so I would think that one pretty definitely isn't a very recent one. Even more recently Gretsch seem to have stopped using friction tuners in favour of geared (shame!). Had they not done that I'd have been very tempted to buy one myself.