The Collaborative International Dictionary of English v.0.48:

Fleer \Fleer\, v. t.
   To mock; to flout at. --Beau. & Fl.
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The Collaborative International Dictionary of English v.0.48:

Fleer \Fleer\, n.
   1. A word or look of derision or mockery.
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            And mark the fleers, the gibes, and notable scorn.
                                                  --Shak.
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   2. A grin of civility; a leer. [Obs.]
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            A sly, treacherous fleer on the face of deceivers.
                                                  --South.
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The Collaborative International Dictionary of English v.0.48:

fleer \fle"er\ (fl[=e]"[~e]r), n.
   One who flees. --Ld. Berners.
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The Collaborative International Dictionary of English v.0.48:

fleer \fleer\ (fl[=e]r), [imp. & p. p. fleered (fl[=e]rd); p.
   pr. & vb. n. fleering.] [OE. flerien; cf. Scot. fleyr,
   Norw. flira to titter, giggle, laugh at nothing, MHG. vlerre,
   vlarre, a wide wound.]
   1. To make a wry face in contempt, or to grin in scorn; to
      deride; to sneer; to mock; to gibe; as, to fleer and
      flout.
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            To fleer and scorn at our solemnity.  --Shak.
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   2. To grin with an air of civility; to leer. [Obs.]
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            Grinning and fleering as though they went to a bear
            baiting.                              --Latimer.
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WordNet (r) 3.0 (2006):

fleer
    n 1: someone who flees from an uncongenial situation; "fugitives
         from the sweatshops" [syn: fugitive, runaway, fleer]
    2: contempt expressed by mockery in looks or words
    v 1: to smirk contemptuously