Are there any risks in having a stent fitted? Yes, there are possible risks with this procedure and the doctor fitting your stent will discuss these with you in more detail before you have this procedure. The risks include: perforation (making a hole in your oesophagus), bleeding and movement of the stent.re there any risks in having a stent fitted? Yes, there are possible risks with this procedure and the doctor fitting your stent will discuss these with you in more detail before you have this procedure. The risks include: perforation (making a hole in your oesophagus), bleeding and movement of the stent.