It doesn't affect your eligibility but depending on the amount you may have a disqualification period before you are entitled to benefit. See below from citizens information website
Redundancy
From 1st February 2007, if you are under 55 and get a redundancy payment of more than €50,000 you will be disqualified from claiming Jobseeker's Benefit for the following lenght of time:
Amount of Redundancy PaymentPeriod of Disqualification€50,000.00 - €55,000 1 Week €55,000.01 - €60,000 2 Weeks€60,000.01 - €65,000 3 Weeks €65,000.01 - €70,000 4 Weeks €70,000.01 - €75,000 5 Weeks€75,000.01 - €80,000 6 Weeks €80,000.01 - €85,000 7 Weeks€85,000.01 - €90,000 8 Weeks€90,000.01 and over 9 Weeks