But as soon as they had relief, they again did what was evil in Your sight. So You abandoned them to the power of their enemies, who dominated them. When they cried out to You again, You heard from heaven and rescued them many times in Your compassion. – Nehemiah 9:28
Does God ever get tired of our cries for help? I think it might be possible (if He could ever get tired), but due to His infinite mercy He will always want us to come to Him with our problems and needs. Two reasons come to mind:
1) When God shows His faithfulness by hearing our cry and meeting our need, our trust in Him grows.
2) When God allows us to endure the consequences of our sin by seemingly ignoring our cry (for a time), then our understanding of His holiness grows.
In either case, we learn to come to Him with our needs and to lean on Him in every moment of our lives. We also grow in our understanding of His character and arrive at a greater knowledge of Him as our only true Savior. Bottom line, we need the Lord and He loves to rescue.
If you were not a sinful, polluted, helpless, and miserable creature, this Savior would not be suited to you, and you would not be comprehended in his gracious invitations to the children of men. – Archibald Alexander