Form submission to a CFC

I would start by thinking a bit differently about your CFC.  In your code, you're submitting the form to the CFC, almost as if it's another "action" .cfm page.  But CFC's are not really the same.  Think of them as a collection of functions that you pass arguments to and receive data from, rather than "pages" like the one that contains the form.

So, I would start by looking into <cfinvoke> and cfobject (cfinvoke might be easier for starting off).

Start by submitting the form to the current page, RATHER than the CFC itself.

Then, you could do something like this:

<cfif isDefined("FORM.submit")>

     <cfinvoke component="cfc" method="insert" returnvalue="successmessage">

          <cfinvokeargument name="fname" value="#FORM.fname#" />

          ... other form fields in similar cfinvokeargument statements...

     </cfinvoke>

</cfif>

And then in your CFC, you could specify to return a success message from this "insert" method like so:

(Notice the change of returntype....)

<cffunction name="insert" access="remote" returntype="string">
         <cfargument name="fname" type="string" required="yes">
         <cfargument name="lname" type="string" required="yes">
         <cfargument name="email" type="string" required="yes">
         <cfargument name="phone" type="string" required="yes">
         <cfset var successmessage = "">
        <cfquery name="insertData"  datasource="#application.dsn#">
         INSERT INTO tbl_data
              VALUES('#arguments.fname#','#arguments.lname#','#arguments.email#','#arguments.  phone#')
        </cfquery>
        <cfset msg = "Your submission was successful!">

        <cfreturn successmessage />
</cffunction>

OR you could call another method from within the "insert" method that takes care of generic message handling...

Either way, on your calling page, you can now do the following:

<cfif isDefined("successmessage")>

     <cfoutput>#successmessage#</cfoutput>

     [and hide form it if it exists]

</cfif>

where "#successmessage#" is the return variable from the original CFC invocation.

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Obviously, there are a billion ways this could be done (like calling the CFC from AJAX, and asynchronously returning the message), but hopefully this will give you a start.

Hope it helps