This sounds like Leviathan to me a 1989 deep sea mining horror movie.
Underwater deep-sea miners encounter a Soviet wreck and bring back a dangerous cargo to their base on the ocean floor with horrifying results. The crew of the mining base must fight to survive against a genetic mutation that hunts them down one by one.
The alien/creature came from a can (like a baked bean tin without the wrapper).
Not a can but a vodka flask.
After Williams and Sixpack return from the wreck, the rest of the crew open a safe from The Leviathan that Sixpack took and find several crew records relating to deceased crew members, as well as a video tape from the captain of Leviathan. Among the materials, Sixpack finds a flask of Vodka. There being no alcohol on their underwater base, he hides this for his own use later. Bowman figures out Sixpack had hidden away the Vodka and persuades him to share it.
This creature was like oozy tentacles which were brown and slimy and would reach out and grab the crew members and drag them away. And had grown pretty long.
Despite the bodies being flushed, a piece of Sixpack's mutating leg remains on board and continues to mutate into a lamprey/leech-like creature. This attacks Dejesus in the kitchen. Jones tried to get help, but the creature assimilates Dejesus and begins growing tentacles that randomly attack the crew. Cobb's injuries cause him to mutate as well and he infects Dr. Thompson.