My syslog is filled with:
Jun 27 10:20:08 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:20:19 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:20:30 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:20:42 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:20:53 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:21:01 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:21:10 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:21:20 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:21:37 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:21:58 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:22:10 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:22:25 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:22:44 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:23:03 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:23:19 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:23:36 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:23:57 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:24:09 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:24:20 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
Jun 27 10:24:29 pi dhclient: DHCPREQUEST on eth0 to 192.168.11.1 port 67
I have googled and whilst there are many posts, out of all the various solutions I've tried, nothing helped so far.
For what it's worth, this is a wired only connection and resolvconf is installed. It's a Pi 2 Model B.
PRETTY_NAME="Raspbian GNU/Linux 8 (jessie)" NAME="Raspbian GNU/Linux" VERSION_ID="8" VERSION="8 (jessie)"