Is This a Fruit Tree?

My mom planted this tree out in our garden at least 10 years ago. It’s never produced any kind of fruit but I know she wouldn’t have planted it without a reason. Like it makes pretty flowers or it makes fruit. But it seems to do neither. My beautiful mom passed away so I can’t ask her. Thanks for any help! The fence posts behind the tree are about 7ft for reference.

 

Plum, perhaps. It looks like it's still a bit too young to produce fruit yet, but you probably won't have to wait too much longer now.

 

My guess - Prunus spinosa

 

More like Prunus domestica; the leaves are too large for P. spinosa (and no-one would deliberately plant that, anyway!).

 

1. There is no reference for grasping the size of leaves from the photo. To me they look too small for P. domestica.
2. AFAIK, there are cultivars of P. spinosa, so at least somebody is planting them. Older people may have special memories with P. spinosa.
3. Most people would recognise P. domestica, if it is that.
4. P. domestica, if it is a cultivar, would have produced at least some fruits, if there are other plums nearby.

 

At first I thought the problem was a lack of pollination but then I reread the post. Unless I'm misinterpreting it, the tree has yet to produce any flowers so perhaps this is a seedling.

 

Finger and thumb holding the shoot at the bottom left of the first photo. The top right leaf in that photo is I'd estimate in the region of 8-10 cm long. If not Prunus domestica, then P. cerasifera is also an option.

 

That photo lets a viewer to imagine, how large part of these fingers is visible. Even full hand is a bad reference as size of a hand may vary a lot between different persons.
But let it be P. domestica (this is probably hybrid of P. spinosa and P. vachuschtii anyways). It's still very strange then why it has never bloomed, during more than 10 years. Any plum cultivar should at least show some flowers during period so long.

 

Regarding plum genetics (and its impact on identification of randomly encountered plants without known background information being available) they cross among themselves in addition to all of the fiddling with them that humans have done.