var result =
  myList
    .SelectMany(x => x.InnerList)
    .Select(y => y.uniqueCustomerIdentifier)
    .GroupBy(id => id)
    .Where(g => g.Skip(1).Any())
    .Select(g => g.Key)
    .ToList()

var results = from item in list
              group item by item.id into g
              select g.First();