Connect UITableviewCell with UITableview using Combine repeat values

To solve your problem with reused cells you must add the Set<AnyCancellable> to the cell.

If you are only going to use an event inside cells you can use a single AnyCancellable:

Single Event (AnyCancellable)

Declares a variable in the cell of AnyCancellable Type. Every time the cell is reused a new publisher will be added replacing the previous one and you will not receive the event multiple times.

• Cell

    class MyCell: UITableViewCell {
        static let cellNibName = "MyCell"
        static let celdaReuseIdentifier = "MyCellReuseIdentifier"
  
        @IBOutlet weak var lbTitle: UILabel!
        @IBOutlet weak var button: UIButton!
  
        var index: IndexPath?
  
        // store publisher here
        var cancellable: AnyCancellable? 
  
        // Single Publisher per cell
        let tapButton = PassthroughSubject<IndexPath?, Never>()
  
        override func awakeFromNib() {
            super.awakeFromNib()
        }
  
        @IBAction func tapButton(_ sender: Any) {
            self.tapButton.send(index)
        }
    }
  

• ViewController

In the Viewcontroller you just have to add the publisher to the cancellable.

func tableView(_ tableView: UITableView, cellForRowAt indexPath: IndexPath) -> UITableViewCell {

    guard let cell = tableView.dequeueReusableCell(withIdentifier: MyCell.celdaReuseIdentifier, for: indexPath)
    as? MyCell else {
        return MyCell()
    }

    cell.index = indexPath
    cell.lbTitle.text = String("Cell \(indexPath.row)")

    // Add your publisher to your cancellable and remove store function.

    cell.cancellable =  cell.tapButton.compactMap{$0} .sink { index in
        print("tap button in cell \(index.row)")
    }

    return cell
}

Multiples events (Set<AnyCancellable>)

Here it is the same but using a collection in case you want to have more events than just one.

• Cell

Create a variable Set<AnyCancellable> to store the publishers. In this case, before reusing the cell, we will have to remove the cancellables before creating new ones.

    class MyCell: UITableViewCell {
        static let cellNibName = "MyCell"
        static let celdaReuseIdentifier = "MyCellReuseIdentifier"
    
        @IBOutlet weak var lbTitle: UILabel!
        @IBOutlet weak var button: UIButton!
    
        var cancellables: Set<AnyCancellable>?

        var index: IndexPath?
    
    // Multiple Publishers per cell
        let tapButton = PassthroughSubject<IndexPath?, Never>()
        let tapView = PassthroughSubject<UIImage, Never>()

    // Remove all suscriptions before reuse cell
        override func prepareForReuse() {
            super.prepareForReuse()
            cancellables.removeAll()
         }

        override func awakeFromNib() {
            super.awakeFromNib()
            // Initialization code
        }
    
        @IBAction func tapButton(_ sender: Any) {
            self.tapButton.send(index)
        }
    }

• ViewController

In the Viewcontroller you just have to store the publishers.

  func tableView(_ tableView: UITableView, cellForRowAt indexPath: IndexPath) -> UITableViewCell {

    guard let cell = tableView.dequeueReusableCell(withIdentifier: MyCell.celdaReuseIdentifier, for: indexPath)
        as? MyCell else {
            return MyCell()
    }
    
    cell.index = indexPath
    cell.lbTitle.text = String("Cell \(indexPath.row)")
    
    // Add your publisher to your cell´s collection of AnyCancellable
    
    cell.tapButton.compactMap{$0}
        .sink { index in
        print("tap button in cell \(index.row)")
    }.store(in: &cell.cancellables)
    
      return cell
 }

Good Luck!!

You have analyzed and described the problem perfectly. And so the cause is clear. Look at your cellForRow implementation and think about what it does: You are creating and adding a new pipeline to your cancellables every time your cellForRow runs, regardless of whether you've already added a pipeline for this instantiation of the cell.

So you need a way not to do that. Can you think of a way? Hint: attach the pipeline to the cell and vend it from there, so there is only one per cell. Your Set won't add the same pipeline twice, because it is a Set.