It looks like a World War 2 built destroyer, at some period in the 50s or 60s, either being dismantled or in the process of a major rebuild. In either case, the cables would be a combination of cabling built into the ship and over the side supply of services potentially including power, water and compressed air. However, the Mk 37 GFCS is not on the right deck level for it to be in its original position; so it is possible that this is some other class of small ship (still roughly DD size) that the director has been rested on temporarily using the crane visible above it.
What is the source of the photo - that might provide some additional clues
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It's a guess, but it may be EDD-828 USS Timmerman - at a guess being disposed of.
Her bridge was different to a normal Gearing's - which I think I can see on the left curving forwards. Her bridge also seems lower than a normal Gearing, and noting it's a Mk 25 on that Mk 37 director it's highly likely post war.
I guess disposal because of the lack of funnels. The launch pictures here show funnels but no director, while the last photo (as AG-152) shows her being disposed with the Mk 25/37 still there. The Mk 37 also appears to be well worn, and at a guess by 1958 the Mk 25/37 combo wasn't worth saving.
The source of the picture is a photo album of a friend in the US. When i saw it i wanted to find out more about the ship. I dont know when the picture was taken, i only know that it could be a destroyer.
A world war two built destroyer and the picture taken in the 50s or 60s is what i also thought.
Thanks for pointing out the GFCS, it is a good feature to help finding out more about the ship. Is it certain that it is a MK37?
I had a look at the USS Timmerman. The GFCS looks similar, but i agree: It doesnt seem to be on the right deck level. Judging by the orientation of the GFCS, the picture was probably taken amidships. A lot of the ship's structures seem to have been removed.