If you're an Instagram junkie, love following photographers, exploring hashtags and photos in your area, or just have lots of friends or followers on the service, Photoflow for Mac might be worth its price tag for you. You get most the features of the mobile apps or web site, and some additional ones you may not be expecting.
First and foremost, it's important to note that no third-party Instagram clients can upload images to the service, so if you're looking for an end-around that limitation, it's not here. Second, Photoflow is $6.49 in the Mac app store. For some people and heavy users, it's more than worth it, but more casual users might not want to drop the dough when they could just reach for their phones.
If you do drop the cash, you get a ton of additional features, like support for multiple accounts and streams, broad search tools that let you browse hashtags, locations and trends. You also get desktop notifications for likes, comments, and new photos, an interface that works with mice and trackpad gestures, and the ability to enlarge photos and videos either by opening them or just by expanding the window. The app even has a built-in video player for in-stream videos. If you're interested, check it out below — it does require OS X Yosemite though, so make sure you're up to date before installing.