Depends on whether the blips were in the original wave file or if they are because of a garbage data embedded in the MP3.

Since MP3Trim lets you "Save As...", you can always try it. Open it and save it as a different file name. If that fixes it, great.

If not, you have to re-rip the MP3 from its original CD and check your settings to see why you got the blips in the first place.

If you downloaded the file instead of ripping it yourself, well, then, you have discovered the reason why I don't download my music.