John, I usually use TB3 but I'd try the super glue. My experiences with TB3 is that it holds well, but it's messy... If the space between pieces is not real tight and if the runoff of yellow glue is severe, you'll have a time trying to polish those delicate tips up. BUT, to each his own... I'm sure many fellars here have had no problems using TB3.
2 cents,
Prof