General Rawlinson's first plan (rejected by Haig) was simply "bite & hold", small advances with manageable goals. WI the Brits had gone with this plan?
What do you see happening?
Since there were not big breakouts, and they British effectively did take very small chunks of ground and then try to hold them, I don't see a huge change. Now if you mean the British commit a lot less forces to the attack and attack with less aggressiveness, then the effect will be seen in Verdun where Falkenhayn will not have to pull as many units and artillery pieces to fight at Somme.
Did you have some exact scenario in mind?
nope, just curious if to see what would have happened with the first plan