That narrowing at the bar tail is normal as others have stated and acts as a "lead in" for the drive links off the sprocket.
Off the photo provided, it looks to me also that the chain might be narrow gauge for the bar rails- almost looks like the sideplates are inside the outer edges of the bar rails.
Also looks to be quite fine dust rather than chips- might be the chain cutter profile (dull and closed gullet), the "two part" depth gauges and incorrect gauge combined with rail wear, maybe a step at the bar proper to replacement nose sprocket that is allowing fines into the bar rails.
Could also be what you are cutting- if the timber you are cutting is a bit softer than usual, dirty, or just plain rotten- it will throw more dust than chips and help clog things up.