Is there something that will work on Linux with the same functionality like Winscp?
FireFTP is a extension for firefox that provides ssh functionality, recommended.
You could use WinSCP with WINE or you could just use scp on the command line, as it was there first.
Or use a file manager that supports SFTP channels, such as Konqueror. By splitting it into two panes that is pretty much like WinSCP in my opinion. I found it more handy than WinSCP, I think.
Well, from the command line you can use scp or sftp. Why you would run winscp in wine, when winscp is designed to emulate unix commands is beyond me.
I always load up gftp for graphical ftp/sftp on any distro.