Tip stiffness is pretty common after rhinoplasty and more so with open techniques. If a tongue and groove approach was used your surgeon can tell you.
Probably the technique not tongue in groove
It is not uncommon to have a very firm tip after open rhinoplasty (incision between the nostrils), regardless of whether the tongue in groove technique was used or not. This does eventually resolve but it often takes 6-12 months until the area softens. If you had a "closed" rhinoplasty the first time and an "open" rhinoplasty for the revision, that would certainly explain the difference. Even if you had an open rhinoplasty with both cases, you may have required more cartilage grafting in the tip with the revision which will make the area feel more firm. Hope this helps.
Tongue in Groove Technique / Rhinoplasty
The TIG technique consists of a method by which the mesial crura are advanced onto the caudal septum into a surgically created space between the paired cartilages. It provides a method for correcting excess columellar show and can also be used to control nasal tip position, rotation and projection. After the TIG technique has been performed, the columella will be firmly up against the nasal septum and will not move freely. However, scar tissue and cartilage grafts can also limit movement of the columella after surgery and it can be very difficult to distinguish between the two. The best solution is to simply ask your surgeon.
The easiest way for you to find out if you had a Tongue and Groove technique is to ask the surgeon that performed your rhinoplasty. It is actually common to have stiffness throughout the nose in the months following a rhinoplasty. This will gradually become softer over time as the nose heals. Be patient throughout the process and make sure you have adequate follow up. Best of luck.
Firm tip following revision rhinoplasty
A firm and often times stiff nasal tip following rhinoplasty and revision rhinoplasty is nothing to be too concerned with. Over time your tip will soften and feel more natural. As far as the technique which was used, it would be difficult to say without an actual operative report. A stiff tip can occur following the tongue and groove technique, but also with the placement of a columella strut for tip support, and even after tip sutures and tip grafts. Sometimes in an effort to give you the best cosmetic outcome, the surgeon will use a lot of these maneuvers in order to prevent changes that can occur to the nose long term. Steroid injections for significant swelling can be of help but nothing replaces patience and time.