- I found this library: https://github.com/KurtE/ILI9341_t3n
- Connected the screen as shown below
- Loaded a test sketch
And it works 

Code:
#include <SPI.h>
#include <ILI9341_t3n.h>
#include <ili9341_t3n_font_ComicSansMS.h>
#define TFT_CS 10
#define TFT_DC 20
#define TFT_MOSI 11
#define TFT_CLK 13
#define TFT_RST 255
#define TFT_MISO 12
#define TFT_BACKLIGHT 3 // Any PWM pin will do, use to set level of backlight 0-255
ILI9341_t3n tft = ILI9341_t3n(TFT_CS, TFT_DC, TFT_RST, TFT_MOSI, TFT_CLK, TFT_MISO);
void setup() {
Serial.begin(9600);
pinMode(TFT_BACKLIGHT, OUTPUT);
analogWrite(TFT_BACKLIGHT, 100);
tft.begin();
tft.setRotation(3);
tft.fillScreen(ILI9341_BLACK);
//while (!Serial) ;
tft.setTextColor(ILI9341_WHITE); tft.setTextSize(1);
tft.enableScroll();
tft.setScrollTextArea(0,0,120,240);
tft.setScrollBackgroundColor(ILI9341_GREEN);
tft.setCursor(180, 100);
tft.setFont(ComicSansMS_12);
tft.print("Fixed text");
tft.setCursor(0, 0);
tft.setTextColor(ILI9341_BLACK);
for(int i=0;i<20;i++){
tft.print(" this is line ");
tft.println(i);
delay(100);
}
tft.fillScreen(ILI9341_BLACK);
tft.setScrollTextArea(0,0,120,120);
tft.setScrollBackgroundColor(ILI9341_GREEN);
tft.setFont(ComicSansMS_10);
tft.setTextSize(1);
tft.setCursor(40, 50);
for(int i=0;i<20;i++){
tft.print(" this is line ");
tft.println(i);
delay(500);
}
}
void loop(void) {
}