The following will show you how you could install No-IP client on Raspberry Pi.

First of all, download the archive which contained the client with :

$ wget http://www.noip.com/client/linux/noip-duc-linux.tar.gz

Next, extract, install, and launch the configuration script :

$ tar vzxf noip-duc-linux.tar.gz
$ cd noip-2.1.9-1/
$ make && sudo make install
$ sudo /usr/local/bin/noip2

For now, we’ve to create the service running script :

#!/bin/sh

# Author: Horloge-Skynet
# Date: Begun 2015-03-15
# Objective: Run a NO-IP service.

case "$1" in

	start)
		/usr/local/bin/noip2
		;;

	stop)
		killall noip2
		;;

	reload|restart)
		$0 stop
		$0 start
		;;
	
	*)
	echo "Usage: $0 start|stop|restart|reload"
	exit 1

esac


### BEGIN INIT INFO
# Provides: NOIP_Init
# Required-Start: $all
# Required-Stop:
# Default-Start: 2 3 4 5
# Default-Stop: 0 1 6
# Short-Description: NO-IP service
# Description: Launch NO-IP service at the run
### END INIT INFO

… and move it into init directory :

# mv NOIP_Init /etc/rc0.d/

After a reboot, please make sure that the process noip2 is running.