My recollection is the back of the building at the corner of Little Bourke Street and Little William Street was an old man barber shop.
(Pic from Google Streetview.)
Over the past year or so it’s somehow transformed into a trendy cafe called Patricia. The kind of place that appears to be wildly popular despite having little or no signage advertising its presence. When I go past on the way to work, or at lunchtime, there’s often a queue out the door. I’m betting the coffee is suitably awesome (if you like that kind of thing — I’m not a coffee drinker).
…in fact, their Tumblr shows the renovations they did.
(At the other end of Little William Street remains this sign.)