If the Fingering grob has an explicit direction set, it is NOT possible to 
override it with an explicit direction in the input:

    \override Fingering #'direction = #DOWN
    c'4-3 c'4^3 c'4_3 c'4-3 |

In this example, all fingerings will be below the staff, but the second one 
should still be above, since ^ is explicitly given. Full example is attached.

The only way to override is with an explicit 
    \once\override Fingering #'direction = #UP

Cheers,
Reinhold

PS: For other grobs, like DynamicText or DynamicLineSpanner an explicit 
direction (^ or _) overrides the Grob's direction.
-- 
------------------------------------------------------------------
Reinhold Kainhofer, [email protected], http://reinhold.kainhofer.com/
 * Financial & Actuarial Math., Vienna Univ. of Technology, Austria
 * http://www.fam.tuwien.ac.at/, DVR: 0005886
 * LilyPond, Music typesetting, http://www.lilypond.org

Attachment: fingering-direction-override.pdf
Description: Adobe PDF document

\version "2.15.10"
\paper { line-width = 9\cm tagline =##f}
\markup\wordwrap { Fingering direction is set to DOWN, but explicit 
  directions should override. The given directions here are: default, UP, DOWN, default
}
\score{
  \new Staff {
    \override Fingering #'direction = #DOWN
    c'4-3 c'4^3 c'4_3 c'4-3 |
  }
}
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