Is it possible to see full version of a Message that got truncated? IE, I see something along the lines of 0.105309,0.394682,<<20>>,<<20
I'm not sure if you can recover a long message that has already been generated. As $MessageList and Message[] only store the message names, not the arguments passed to them.
To stop Short[] from being automatically applied to messages you can Unset[$MessagePrePrint]. It's default value is Automatic -- whatever that entails.
Rather than print long messages all the time, it might be better to use something like
General::longmsg="A long message (`1`) was produced. The full message has been saved in `2`";
$MessagePrePrint=With[{bc=ByteCount[#]},If[bc>65536,
With[{fn=FileNameJoin[{$HomeDirectory,StringJoin["MmaMsg",ToString/@DateList[]]}]},
Put[#,fn];Message[General::longmsg,bc,Row[{fn}]];Short[Shallow[#],1]],
#]]&;
This will print out the message as normal unless the ByteCount is too large ( > 65536) in which case it will print out two messages: The first informs you that a large message was produced and gives you the file where it was saved. The second is the truncated version of the full message.