I'm a big proponent of cultivating one's network at all times, not just when you need it.  Professional networking should be based on 'how can I help you' not 'can you help me' as well and being selective about the relationships you build.  One thing I haven't stressed, that I should, is not dropping your contacts the minute you accept a new job.   Networking is all about relationships; when you maintain a relationship, when you need help, you are much more likely to get the help you need.  So don't drop those connections.

I've heard a bit of concern amongst Launch Pad Job Club members about being associated with a job seeker's group when they've landed a job.  A couple of people have withdrawn their membership in the LinkedIn group after finding a permanent position.  

The thing is, the group is not intended to be just for active job seekers.  The group is for active and inactive (alumni) members alike, who can help each other in many ways, not just for assistance when job seeking.  Seek experts, find out about potential clients or vendors, and more. The only limits involved are your personal limits for networking.

I do have to admit, there is legitimate concern about the misconception about the purpose of the group, although one has to wonder about the ex-employee groups out there, and there are a lot of them.  If there is concern about the perception of membership in a group, the solution isn't to leave the group, it's to not advertise membership in it.

You can set your group preferences to hide the logo for any group. This can allow you to be discreet about your groups, especially if you fear that membership in LPJC may be interpreted as actively seeking.  Go to Account & Settings > Groups > My Groups to view and change your groups related privacy settings.  Check all other areas to determine if the current or default settings meet your needs.