A character gets stuck to a handled firmly attached to wall with sovereign glue.
- Can the character use shadow step to get away from the wall?
- Can the character use teleport to get away from the wall?
- Can the character use dimension door to get away from the wall?
This seems to be a collision between the RAW of teleport like magic and sovereign glue:
The glue takes 1 minute to set. Once it has done so, the bond it creates can be broken only by the application of Universal Solvent or Oil of Etherealness, or with a wish spell.
The description of shadow step is relatively short. The functional part for this question is:
... as a bonus action, you can teleport up to 60 feet..
The teleport spell is similarly worded:
This spell instantly transports you and up to eight willing creatures of your choice that you can see within range, or a single object that you can see within range, to a destination you select.
The question was assuming that the character can be joined to the handle by use of the glue in the first place. In order to for this to be true in 5e, it would require a house rule. That was the intent of the original question. The tags have been updated to reflect this.
The answer by Rubiksmoose and comment by LordHieros elucidated that the assumption is preempted by RAW in regards to creature/object.