cd /usr/local/src/
wget http://www.no-ip.com/client/linux/noip-duc-linux.tar.gz
tar xf noip-duc-linux.tar.gz
cd noip-2.1.9-1/
make install

if for some reason it gave you an error you may need to upgrade to "Plus Managed DNS" that is around 20$ (usually less)

/usr/local/bin/noip2 -C # dash capital C, this will create the default config file
/usr/local/bin/noip2 # to launch the client

also here is a script for auto start:
first create a file called noip2 in /etc/init.d/

chmod +x noip2
update-rc.d noip2 defaults

#! /bin/sh
# /etc/init.d/noip2

# Supplied by no-ip.com
# Modified for Debian GNU/Linux by Eivind L. Rygge <eivind@rygge.org>
# Updated by David Courtney to not use pidfile 130130 for Debian 6.
# Updated again by David Courtney to "LSBize" the script for Debian 7.

### BEGIN INIT INFO
# Provides: noip2
# Required-Start: networking
# Required-Stop:
# Should-Start:
# Should-Stop:
# Default-Start: 2 3 4 5
# Default-Stop: 0 1 6
# Short-Description: Start noip2 at boot time
# Description: Start noip2 at boot time
### END INIT INFO

# . /etc/rc.d/init.d/functions # uncomment/modify for your killproc

DAEMON=/usr/local/bin/noip2
NAME=noip2

test -x $DAEMON || exit 0

case "$1" in
 start)
 echo -n "Starting dynamic address update: "
 start-stop-daemon --start --exec $DAEMON
 echo "noip2."
 ;;
 stop)
 echo -n "Shutting down dynamic address update:"
 start-stop-daemon --stop --oknodo --retry 30 --exec $DAEMON
 echo "noip2."
 ;;

 restart)
 echo -n "Restarting dynamic address update: "
 start-stop-daemon --stop --oknodo --retry 30 --exec $DAEMON
 start-stop-daemon --start --exec $DAEMON
 echo "noip2."
 ;;

 *)
 echo "Usage: $0 {start|stop|restart}"
 exit 1
esac
exit 0