Hi Craig,
Assuming you'd be reading these files back in with Mathematica, I think a Cells/NotebookRead/Put/Get combo might be what you're looking for:
 In[10]:= targetNb = EvaluationNotebook[];
 cellExprs = NotebookRead@Cells@targetNb
 
 Out[11]= {Cell[
   BoxData[{RowBox[{RowBox[{"targetNb", "=", 
         RowBox[{"EvaluationNotebook", "[", "]"}]}], ";"}], 
     "\[IndentingNewLine]", 
     RowBox[{"cellExprs", "=", 
       RowBox[{"NotebookRead", "@", 
        RowBox[{"Cells", "@", "targetNb"}]}]}]}], "Input"], 
 Cell[BoxData[{RowBox[{RowBox[{"listFile", "=", 
        "\"cellExprList.m\""}], ";"}], "\[IndentingNewLine]", 
    RowBox[{RowBox[{"Put", "[", 
        RowBox[{"cellExprs", ",", "listFile"}], "]"}], ";"}], 
    "\[IndentingNewLine]", 
    RowBox[{RowBox[{"Get", "@", "listFile"}], "===", "cellExprs"}]}], 
  "Input"], 
 Cell[BoxData[{RowBox[{RowBox[{"seqFile", "=", "\"cellExprSeq.m\""}], 
      ";"}], "\[IndentingNewLine]", 
    RowBox[{RowBox[{"Put", "[", 
        RowBox[{RowBox[{"Sequence", "@@", "cellExprs"}], ",", 
          "seqFile"}], "]"}], ";"}], "\[IndentingNewLine]", 
    RowBox[{RowBox[{"Get", "@", "seqFile"}], "===", 
      RowBox[{"cellExprs", "[", 
        RowBox[{"[", RowBox[{"-", "1"}], "]"}], "]"}]}]}], "Input"], 
 Cell[BoxData[
   RowBox[{RowBox[{"ReadList", "@", "seqFile"}], "===", 
     "cellExprs"}]], "Input"]}
In[12]:= listFile = "cellExprList.m";
Put[cellExprs, listFile];
Get@listFile === cellExprs
Out[14]= True
In[15]:= seqFile = "cellExprSeq.m";
Put[Sequence @@ cellExprs, seqFile];
Get@seqFile === cellExprs[[-1]]
Out[17]= True
In[18]:= ReadList@seqFile === cellExprs
Out[18]= True
Hth,
William