See the ContactEntry class and how to update it .
RETRIEVE your contact:
RequestSettings rs = new RequestSettings(this.ApplicationName, this.userName,this.passWord);
ContactsRequest cr = new ContactsRequest(rs);
Contact contact = cr.Retrieve<Contact>("http://www.google.com/m8/feeds/contacts/test@gmail.com/full/12345");
UPDATE your contact:
UserDefinedField customField= new UserDefinedField("yourFieldName","yourFieldValue);
contact.addUserDefinedField(customField);
Contact updatedContact = cr.Update(contact);
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