Possible Clues:

• Statement that may follow "Not to toot my own horn, but ... "
• Display strong self-esteem
• Be vainglorious
• Brag about - squash shot
• 'Veni, vidi, vici,' e.g.
• Blow own trumpet
• 'Look, ma, no cavities!,' e.g.
• The ship may brag about getting around the South
• As made by the over-confident comp-etitor, perhaps
• Expression of excessive pride