Simple Q&A D&D 3.5 (by RAW) XXII

[mattie_p]

A62 Dissent: Glibness is a 3rd Level Bard spell (Commerce and Treachery, I believe, gain it as a Cleric 4th level spell).

Per Lesser Globe:

An immobile, faintly shimmering magical sphere surrounds you and excludes all spell effects of 3rd level or lower. ... Spells of 4th level and higher are not affected by the globe, nor are spells already in effect when the globe is cast.

Note that spell effects are not disrupted unless their effects enter the globe, and even then they are merely suppressed, not dispelled.

So a Bard glibness (barring shenanigans) would be suppressed should it enter a lesser globe. (If the globe were cast and included someone with glibness, the glibness would not be suppressed.)

Globe of Invulnerability:

This spell functions like lesser globe of invulnerability, except that it also excludes 4th-level spells and spell-like effects.

So even clerical glibness is suppressed inside a Globe of Invulnerability spell.