It's not uncommon to have a listing where the sellers have a personal attachment to a fixture in their home. Many owners have either paid a lot of money for the Dining Room chandelier or drapes that match their bedroom bedding. I usually recommend that they take down the chandelier or make sure the Seller's Disclosure spells out what stays with the home. The sellers can go out and replace the chandelier with a new one so it's a non-issue for the buyers.
Last winter, I had a listing appointment where the wife informed me that she had been given some outside plants from her Grandmother and she wanted to keep these plants. The surprising part is that she wanted to wait until Spring to take the plants for better transplanting purposes. Wait, you mean AFTER the home closes? Yes, the wife was adamant that she had to wait to do the transplanting in Spring, not Winter. This was a first. I informed her that this would be when someone else would own the home and the property. The buyers would have to agree to this in a separate agreement.
We were very fortunate to have a buyer that did agree to this and sign a separate agreement for the seller to dig up her Grandmother's plants in the Spring. There's usually a good solution for every unique situation.