Hello,
Please check the rules of the IPTABLES some time it will create big problem in the services. First flush the iptables save it and restarted the iptables service and try eximup and restarted the chkservd service.
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# iptables -L [This command shows you the list of added rules in iptables]
# iptables -F [This command will flush all the added iptable rules, now iptable file is empty]
# service iptables save [This command save your new (blank) iptable rules]
# service iptables restart
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After clearing iptables rules, use the exim up command,
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# /scripts/eximup --force
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Restart the chkservd after exim up completed.
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# service chkservd restart [Restart this service 2-3 times]
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Now check the services in your WHM, it shows you up.
