Judging from the comments, you know this already but you can open a file with something like
\newwrite\myoutput
\immediate\openout\myoutput=\jobname.output
I have used the tex file name \jobname for the output file with an "output" extension. You can write to this file using
\write\myputout{stuff}
With your MWE, things go horribly wrong with expansion. To get around this in the past I have used an \unexpandedwrite macro that I found somewhere in TeXbook. Using this I can get your MWE to compile and produce the output:
1: foo
2: bar
and 3: baz
1: See 1\hbox {}
2: \begin {description} \item [whatever] Hello \end {description}
and 3: Some text
Depending on what you expect for #1, #2, and #3 you could of course use \write for some of them and \unexpandedwrite for others. This is what I have done below.
EDIT
@jfbu points out in the comments that there is now an \unexpanded macro so \unexpandedwrite is not needed anymore, so my MWe can be shortened to:
\documentclass{article}
\newwrite\myoutput
\immediate\openout\myoutput=\jobname.output
\newcommand\foo[3]{%
\write\myoutput{1: #1}
\write\myoutput{\unexpanded{2: #2}}
\write\myoutput{ and 3: #3}
}
\begin{document}
\foo{foo}{bar}{baz}
\foo{See \ref{sec}}{\begin{description}
\item[whatever] Hello
\end{description}}{Some text}
\section{A section}
\label{sec}
\immediate\closeout\myoutput % to close the file
\end{document}
Here is the original code:
\documentclass{article}
%% from the TeXbook
\def\{\let\stoken= } \
\long\def\unexpandedwrite#1#2{\def\finwrite{\write#1}%
{\aftergroup\finwrite\aftergroup{\sanitize#2\endsanity}%
}}
\def\sanitize{\futurelet\next\sanswitch}
\def\sanswitch{\ifx\next\endsanity
\else\ifcat\noexpand\next\stoken\aftergroup\space\let\next=\eat
\else\ifcat\noexpand\next\bgroup\aftergroup{\let\next=\eat
\else\ifcat\noexpand\next\egroup\aftergroup}\let\next=\eat
\else\let\next=\copytoken\fi\fi\fi\fi \next
}
\def\eat{\afterassignment\sanitize \let\next= }
\long\def\copytoken#1{%
\ifcat\noexpand#1\relax\aftergroup\noexpand
\else\ifcat\noexpand#1\noexpand~\aftergroup\noexpand\fi\fi
\aftergroup#1\sanitize%
}
\def\endsanity\endsanity{}
\newwrite\myoutput
\immediate\openout\myoutput=\jobname.output
\newcommand\foo[3]{%
\write\myoutput{1: #1}
\unexpandedwrite\myoutput{2: #2}
\write\myoutput{ and 3: #3}
}
\begin{document}
\foo{foo}{bar}{baz}
\foo{See \ref{sec}}{\begin{description}
\item[whatever] Hello
\end{description}}{Some text}
\section{A section}
\label{sec}
\end{document}