Biber 0.9.4/biblatex 1.6 are now released and this should now be possible as every single name has a name hash now, in addition to the name list as a whole having a hash. See the field "hash" in section 4.2.4.1 of the biblatex 1.6 manual.
Something like this seems to work. Use the commented lines instead of those immediately below them to use a dash instead of initials.
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[backend=biber,style=authoryear]{biblatex}
\usepackage{filecontents}
\begin{filecontents}{\jobname.bib}
@BOOK{test1,
AUTHOR = {Raphael Clifford and John Doe},
TITLE = {Eliding My Self},
PUBLISHER = {Publisher},
LOCATION = {Elidington},
YEAR = {1968},
}
@BOOK{test2,
AUTHOR = {Brian Blinkers and Cecil Crenshaw and Raphael Clifford},
TITLE = {Eliding My Self Again},
PUBLISHER = {Publisher},
LOCATION = {Elidington},
YEAR = {1969},
}
@BOOK{test3,
AUTHOR = {Brian Blinkers and Raphael Clifford and Cecil Crenshaw},
TITLE = {Eliding My Self Once More},
PUBLISHER = {Publisher},
LOCATION = {Elidington},
YEAR = {1970},
}
\end{filecontents}
\addbibresource{test.bib}
\newbibmacro*{name:me}[1]{%
\usebibmacro{name:delim}{#1}%
\usebibmacro{name:hook}{#1}%
\mkbibnamelast{#1}}%
\DeclareNameFormat{labelname}{%
\iffieldequals{hash}{\mehash}%
% {\usebibmacro{name:me}{\bibrangedash}}%
{\usebibmacro{name:me}{#2}}%
{\ifboolexpr{ test {\ifstrequal{#1}{Clifford}} and test {\ifstrequal{#3}{Raphael}}}
% {\savefield{hash}{\mehash}\usebibmacro{name:me}{\bibrangedash}}%
{\savefield{hash}{\mehash}\usebibmacro{name:me}{#2}}%
{\ifcase\value{uniquename}%
\usebibmacro{name:last}{#1}{#3}{#5}{#7}%
\or
\ifuseprefix
{\usebibmacro{name:first-last}{#1}{#4}{#5}{#8}}
{\usebibmacro{name:first-last}{#1}{#4}{#6}{#8}}%
\or
\usebibmacro{name:first-last}{#1}{#3}{#5}{#7}%
\fi
\usebibmacro{name:andothers}}}}%
\begin{document}
\cite{test1}\\
\cite{test2}\\
\cite{test3}
\printbibliography
\end{document}
.bibfile where you search&replace'd your name with--or maybe some macro? – Martin Scharrer♦ Jul 2 '11 at 14:59\newcommand{\myname}{--}in the preamble and\renewcommand{\myname}{Raphael Clifford}direct before the reference list. – Martin Scharrer♦ Jul 2 '11 at 17:29