Specify Dataset name from variable in CSV file

just rename ithe dataset using this script

// Illustrator Script: Rename Data Sets using Bound Variable Text + Dash + Number
function renameDataSetsWithDashAndNumberFixed() {
    if (app.documents.length == 0) {
        alert("No document open.");
        return;
    }

    var doc = app.activeDocument;
    var datasets = doc.dataSets;

    if (datasets.length == 0) {
        alert("No data sets found. Please import your variables first.");
        return;
    }

    // Prompt user for the exact name of the variable column to use
    var variableName = prompt("Enter the exact column/variable name to use for renaming:", "Name");
    if (!variableName) return;

    // Find the target variable in the document
    var targetVariable = null;
    for (var i = 0; i < doc.variables.length; i++) {
        if (doc.variables[i].name === variableName) {
            targetVariable = doc.variables[i];
            break;
        }
    }

    if (!targetVariable) {
        alert("Variable '" + variableName + "' not found. Check your spelling and try again.");
        return;
    }

    var successCount = 0;

    // Loop through all data sets and rename them
    for (var j = 0; j < datasets.length; j++) {
        datasets[j].display(); // Switch layout to current dataset row

        var varText = "";

        // Target the individual page element index [0] to extract real content string
        try {
            if (targetVariable.pageItems && targetVariable.pageItems.length > 0) {
                varText = targetVariable.pageItems[0].contents;
            } else if (targetVariable.pageItems) {
                varText = targetVariable.pageItems.contents;
            }
        } catch (e) {
            // Second safety path: Look directly at the text frame content if it behaves as a single text frame instance
            try {
                varText = targetVariable.pageItems[0].contents;
            } catch (err) {
                varText = "Row"; 
            }
        }

        // Clean up formatting
        if (varText) {
            varText = varText.replace(/[\/\\:*?"<>|]/g, "_"); // Remove illegal file characters
            varText = varText.replace(/^\s+|\s+$/g, '');       // Trim spaces
        }

        if (varText === "" || varText === undefined) {
            varText = "Row";
        }

        // Renames to "YourText-1", "YourText-2", etc.
        datasets[j].name = varText + "-" + (j + 1);
        successCount++;
    }

    alert("Success! Renamed " + successCount + " data sets.");
}
renameDataSetsWithDashAndNumberFixed();

Did you find the solution?

Why not try to import your data with the VariableImporter script?